Manuel del Pino            manueldelpino

PHD in Mathematics, University of Minnesota, USA (1992).

Civil Ingineering in Mathematics, Universidad de Chile (1987).

Position: Full Professor

Institution: Departamento de Ingeniería Matemática & Centro de Modelamiento Matemático (CMM),

Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile.

Research area: Nonlinear Analysis.

Contact:

Email: delpino@dim.uchile.cl

Phone: +56 2 2978 4660

Adress: Beauchef 851, North Building, 5th floor, Santiago, Chile.

Publications

  • del Pino, Manuel; Gkikas, Konstantinos T.;  Ancient shrinking spherical interfaces in the Allen–Cahn flow. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 1, 187–215.  (arxiv)
  • A. De la Torre, M. del Pino, M.d.M. Gonzalez, J. Wei, Delaunay-type singular solutions for the fractional Yamabe Problem. To appear in Math Annalen. (pdf)
  • Agudelo, Oscar; Del Pino, Manuel; Wei, Juncheng, Catenoidal layers for the Allen-Cahn equation in bounded domains, Chin. Ann. Math. Ser. B 38 (2017), no. 1, 13–44. (arxiv)
  • Agudelo, Oscar; del Pino, Manuel; Wei, Juncheng, Higher dimensional catenoid, Liouville equation and Allen-Cahn equation. To appear in Int. Math. Res. Notices.
  • Manuel del Pino, Konstantinos T. Gkikas, Ancient shrinking spherical interfaces in the Allen-Cahn equation. To appear Proc Roy Soc Edinburgh. (arxiv)
  • M. del Pino, M. Musso, C. Roman, J. Wei, Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3. To appear in J. d’Analyse Mathemathique. Preprint arXiv:1512.03468. (arxiv)
  • Dávila, J.; del Pino, M: & Wei, J., Nonlocal s-minimal surfaces and Lawson cones, to appear in Journal of Differential Geometry.
  • Agudelo, Oscar; Del Pino, Manuel; Wei, Juncheng, Catenoidal layers for the Allen-Cahn equation in bounded domains, Chin. Ann. Math. Ser. B 38 (2017), no. 1, 13–44. (arxiv)
  • Cinti, Eleonora; Davila, Juan; Del Pino, Manuel; Solutions of the fractional Allen–Cahn equation which are invariant under screw motion. J. Lond. Math. Soc. (2) 94 (2016), no. 1, 295–313. pdf
  • Daskalopoulos, Panagiota; del Pino, Manuel; King, John; Sesum, Natasa, New type I ancient compact solutions of the Yamabe flow. Nonlinear Anal. 137 (2016), 338–356. (arxiv)
  • Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico Nonlocal Delaunay surfaces. Nonlinear Anal. 137 (2016), 357–380. pdf
  • del Pino, Manuel; Pistoia, Angela; Vaira, Giusi; Large mass boundary condensation patterns in the stationary Keller–Segel system. J. Differential Equations 261 (2016), no. 6, 3414–3462. (arxiv)
  • Dávila, Juan;  del Pino,  Manuel; Dipierro, Serena; Valdinoci, Enrico , Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Anal. PDE 8 (2015), no. 5, 1165–1235. (arxiv)
  • Del Pino, Manuel; Wei, Juncheng; Yao, Wei. Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials. Calc. Var. Partial Differential Equations 53 (2015). no. 1-2. 473-523. pdf
  • Agudelo, Oscar; del Pino, Manuel; Wei, Juncheng. Solutions with multiple catenoidal ends to the Allen-Cahn equation in R3. J. Math. Pures Appl. (9) 103 (2015), no. 1, 142–218. pdf
  • Del Pino, Manuel; Mahmoudi, Fethi; Musso, Monica. Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents. J. Eur. Math. Soc. (JEMS) 16 (2014), no. 8, 1687–1748. pdf
  • Dávila, Juan; del Pino, Manuel; Wei, Juncheng. Concentrating standing waves for the fractional nonlinear Schrödinger equation. J. Differential Equations 256 (2014), no. 2, 858–892. pdf
  • Dávila, Juan; del Pino, Manuel; Sire, Yannick Nondegeneracy of the bubble in the critical case for nonlocal equations. Proc. Amer. Math. Soc. 141 (2013), no. 11, 3865–3870. pdf
  • Del Pino, Manuel; Dolbeault, Jean. The Euclidean Onofri inequality in higher dimensions. Int. Math. Res. Not. IMRN 2013, no. 15, 3600–3611. pdf
  • Del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela. Torus action on Snand sign-changing solutions for conformally invariant equations. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 12 (2013), no. 1, 209–237. pdf
  • Dávila, Juan; del Pino, Manuel; Guerra, Ignacio. Non-uniqueness of positive ground states of non-linear Schrödinger equations. Proc. Lond. Math. Soc. (3) 106 (2013), no. 2, 318–344. pdf
  • del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng. Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Comm. Pure Appl. Math. 66 (2013), no. 4, 481–547. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature inR3. J. Differential Geom. 93 (2013), no. 1, 67–131. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank. Moduli space theory for the Allen-Cahn equation in the plane. Trans. Amer. Math. Soc. 365 (2013), no. 2, 721–766. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. On De Giorgi’s conjecture and beyond. Proc. Natl. Acad. Sci. USA 109 (2012), no. 18, 6845–6850. pdf
  • Del Pino, Manuel; Musso, Monica; Pacard, Frank. Solutions of the Allen-Cahn equation which are invariant under screw-motion. Manuscripta Math. 138 (2012), no. 3-4, 273–286. pdf
  • Del Pino, Manuel; Musso, Monica; Ruf, Bernhard Beyond the Trudinger-Moser supremum. Calc. Var. Partial Differential Equations 44 (2012), no. 3-4, 543–576. pdf
  • Del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica. Nondegeneracy of entire solutions of a singular Liouvillle equation. [Nondegeneracy of entire solutions of a singular Liouville equation] Proc. Amer. Math. Soc. 140 (2012), no. 2, 581–588. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng. On De Giorgi’s conjecture in dimension N≥9. Ann. of Math. (2) 174 (2011), no. 3, 1485–1569. pdf
  • Del Pino, Manuel; Wei, Juncheng. Solutions to the Allen Cahn equation and minimal surfaces. Milan J. Math. 79 (2011), no. 1, 39–65. pdf
  • Del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela. Large energy entire solutions for the Yamabe equation. J. Differential Equations 251 (2011), no. 9, 2568–2597. pdf
  • Dávila, Juan; del Pino, Manuel; Musso, Monica. Bistable boundary reactions in two dimensions. Arch. Ration. Mech. Anal. 200 (2011), no. 1, 89–140. pdf
  • Del Pino, Manuel. New entire solutions to some classical semilinear elliptic problems. Proceedings of the International Congress of Mathematicians. Volume III,1934–1957, Hindustan Book Agency, New Delhi, 2010. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. On a conjecture by De Giorgi in dimensions 9 and higher. Symmetry for elliptic PDEs, 115–137, Contemp. Math., 528,Amer. Math. Soc., Providence, RI, 2010.
  • Campos, Juan; del Pino, Manuel; Dolbeault, Jean. Relative equilibria in continuous stellar dynamics. Comm. Math. Phys. 300 (2010), no. 3, 765–788. pdf
  • Del Pino, Manuel; Musso, Monica; Pacard, Frank. Bubbling along boundary geodesics near the second critical exponent. J. Eur. Math. Soc. (JEMS) 12 (2010), no. 6, 1553–1605. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng; Yang, Jun. Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature. Geom. Funct. Anal. 20 (2010), no. 4, 918–957. pdf
  • Del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles. A logarithmic Hardy inequality. J. Funct. Anal. 259 (2010), no. 8, 2045–2072. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng. The Toda system and multiple-end solutions of autonomous planar elliptic problems. Adv. Math. 224 (2010), no. 4, 1462–1516. pdf
  • Del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica. Two-dimensional Euler flows with concentrated vorticities. Trans. Amer. Math. Soc. 362 (2010), no. 12, 6381–6395. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. The Jacobi-Toda system and foliated interfaces. Discrete Contin. Dyn. Syst. 28 (2010), no. 3, 975–1006. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng. Multiple-end solutions to the Allen-Cahn equation in $\Bbb R^2$. J. Funct. Anal. 258 (2010), no. 2, 458–503.
  • Del Pino, Manuel; Musso, Monica; Ruf, Bernhard. New solutions for Trudinger-Moser critical equations in $\Bbb R^2$. J. Funct. Anal. 258 (2010), no. 2, 421–457. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Rev. Un. Mat. Argentina 50 (2009), no. 2, 95–107. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng. A counterexample to a conjecture by De Giorgi in large dimensions. C. R. Math. Acad. Sci. Paris 346 (2008), no. 23-24, 1261–1266. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng. The Toda system and clustering interfaces in the Allen-Cahn equation. Arch. Ration. Mech. Anal. 190 (2008), no. 1, 141–187. pdf
  • Del Pino, Manuel; Kowalczyk, Michał. Renormalized energy of interacting Ginzburg-Landau vortex filaments. J. Lond. Math. Soc. (2) 77 (2008), no. 3, 647–665. pdf
  • Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng. Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Calc. Var. Partial Differential Equations 32 (2008), no. 4, 453–480.pdf
  • Del Pino, Manuel. Supercritical elliptic problems from a perturbation viewpoint. Discrete Contin. Dyn. Syst. 21 (2008), no. 1, 69–89. pdf
  • Daskalopoulos, P.; del Pino, Manuel. Type II collapsing of maximal solutions to the Ricci flow in R2. Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 6, 851–874. pdf
  • Del Pino, Manuel; Musso, Monica; Pacard, Frank. Boundary singularities for weak solutions of semilinear elliptic problems. J. Funct. Anal. 253 (2007), no. 1, 241–272. pdf
  • Del Pino, Manuel; Guerra, Ignacio Ground states of a prescribed mean curvature equation. J. Differential Equations 241 (2007), no. 1, 112–129. pdf
  • Dávila, Juan; del Pino, Manuel; Musso, Monica. The supercritical Lane-Emden-Fowler equation in exterior domains. Comm. Partial Differential Equations 32 (2007), no. 7-9, 1225–1243.pdf
  • Del Pino, Manuel; Wei, Juncheng. Problèmes elliptiques supercritiques dans des domaines avec de petits trous. [Supercritical elliptic problems in domains with small holes] Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 4, 507–520. pdf
  • Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng Standing waves for supercritical nonlinear Schrödinger equations. J. Differential Equations 236 (2007), no. 1, 164–198. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng. Concentration on curves for nonlinear Schrödinger equations. Comm. Pure Appl. Math. 60 (2007), no. 1, 113–146. pdf
  • Del Pino, Manuel; Muñoz, Claudio. The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. J. Differential Equations 231 (2006), no. 1, 108–134. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng. Resonance and interior layers in an inhomogeneous phase transition model. SIAM J. Math. Anal. 38 (2006/07), no. 5, 1542–1564 (electronic). pdf
  • Del Pino, Manuel. Nonlinear elliptic problems above criticality. Milan J. Math. 74 (2006), 313–338. pdf
  • Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng. Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Arch. Ration. Mech. Anal. 182 (2006), no. 2, 181–221. pdf
  • Contreras, Andrés; Del Pino, Manuel. Nodal bubble-tower solutions to radial elliptic problems near criticality. Discrete Contin. Dyn. Syst. 16 (2006), no. 3, 525–539. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Musso, Monica. Variational reduction for Ginzburg-Landau vortices. J. Funct. Anal. 239 (2006), no. 2, 497–541. pdf
  • Del Pino, Manuel; Dolbeault, Jean; Musso, Monica. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Commun. Pure Appl. Anal. 5 (2006), no. 3, 463–482. pdf
  • Del Pino, Manuel; Wei, Juncheng. Collapsing steady states of the Keller-Segel system.Nonlinearity 19 (2006), no. 3, 661–684. pdf
  • Del Pino, Manuel; Musso, Monica Bubbling and criticality in two and higher dimensions. Recent advances in elliptic and parabolic problems, 41–59, World Sci. Publ., Hackensack, NJ, 2005.
  • Dávila, Juan; del Pino, Manuel; Musso, Monica. Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. J. Funct. Anal. 227 (2005), no. 2, 430–490. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng. Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. C. R. Math. Acad. Sci. Paris 341 (2005), no. 4, 223–228. pdf
  • Del Pino, Manuel; Kowalczyk, Michal; Musso, Monica. Singular limits in Liouville-type equations. Calc. Var. Partial Differential Equations 24 (2005), no. 1, 47–81.pdf
  • Del Pino, Manuel; Musso, Monica; Pistoia, Angela. Super-critical boundary bubbling in a semilinear Neumann problem. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 1, 45–82. pdf
  • Del Pino, Manuel; Dolbeault, Jean; Musso, Monica. The Brezis-Nirenberg problem near criticality in dimension 3. J. Math. Pures Appl. (9) 83 (2004), no. 12, 1405–1456. pdf
  • Del Pino, Manuel; Dolbeault, Jean; Musso, Monica. Duality in sub-supercritical bubbling in the Brezis-Nirenberg problem near the critical exponent. Partial differential equations and inverse problems, 339–350, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, 2004.
  • Del Pino, Manuel; Dolbeault, Jean; Musso, Monica. A phase plane analysis of the “multi-bubbling” phenomenon in some slightly supercritical equations. Monatsh. Math. 142 (2004), no. 1-2, 57–79. pdf
  • Del Pino, Manuel; Felmer, Patricio; Musso, Monica. Erratum: “Two-bubble solutions in the super-critical Bahri-Coron’s problem” [Calc. Var. Partial Differential Equations 16 (2003), no. 2, 113–145; MR1956850]. Calc. Var. Partial Differential Equations 20 (2004), no. 2, 231–233. pdf
  • Del Pino, Manuel; Dolbeault, Jean; Gentil, Ivan. Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality. J. Math. Anal. Appl. 293 (2004), no. 2, 375–388. pdf
  • Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał. Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality.Int. Math. Res. Not. 2004, no. 30, 1511–1527. pdf
  • Clapp, Mónica; del Pino, Manuel; Musso, Monica. Multiple solutions for a non-homogeneous elliptic equation at the critical exponent. Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), no. 1, 69–87. pdf
  • Del Pino, Manuel; Musso, Monica. Super-critical bubbling in elliptic boundary value problems. Variational problems and related topics (Japanese) (Kyoto, 2002).Sūrikaisekikenkyūsho Kōkyūroku No. 1307 (2003), 85–108.
  • Del Pino, Manuel; Dolbeault, Jean; Musso, Monica. “Bubble-tower” radial solutions in the slightly supercritical Brezis-Nirenberg problem. J. Differential Equations 193 (2003), no. 2, 280–306. pdf
  • Del Pino, Manuel; Dolbeault, Jean. Asymptotic behavior of nonlinear diffusions.Math. Res. Lett. 10 (2003), no. 4, 551–557. pdf
  • Del Pino, Manuel; García-Melián, Jorge; Musso, Monica. Local bifurcation from the second eigenvalue of the Laplacian in a square. Proc. Amer. Math. Soc. 131 (2003), no. 11, 3499–3505 (electronic).pdf
  • Del Pino, Manuel; Felmer, Patricio; Musso, Monica. Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries. Bull. London Math. Soc.35 (2003), no. 4, 513–521.
  • Aftalion, Amandine; del Pino, Manuel; Letelier, René. Multiple boundary blow-up solutions for nonlinear elliptic equations. Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 2, 225–235. pdf
  • Del Pino, Manuel; Felmer, Patricio; Musso, Monica. Two-bubble solutions in the super-critical Bahri-Coron’s problem. Calc. Var. Partial Differential Equations 16 (2003), no. 2, 113–145. pdf
  • Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng . Multi-bump ground states of the Gierer-Meinhardt system in R2. Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 1, 53–85.
  • Del Pino, Manuel; Dolbeault, Jean. The optimal Euclidean Lp-Sobolev logarithmic inequality. J. Funct. Anal. 197 (2003), no. 1, 151–161. pdf
  • Cortázar, Carmen; del Pino, Manuel; Elgueta, Manuel. Description of regional blow-up in a porous-medium equation. Proceedings of the 2001 Luminy Conference on Quasilinear Elliptic and Parabolic Equations and System, 85–101 (electronic), Electron. J. Differ. Equ. Conf., 8, Southwest Texas State Univ., San Marcos, TX,2002. pdf
  • Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał. Boundary spikes in the Gierer-Meinhardt system. Commun. Pure Appl. Anal. 1 (2002), no. 4, 437–456.
  • Cortázar, Carmen; Del Pino, Manuel; Elgueta, Manuel. Uniqueness and stability of regional blow-up in a porous-medium equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 6, 927–960.
  • Del Pino, Manuel; Dolbeault, Jean. Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. J. Math. Pures Appl. (9) 81 (2002), no. 9, 847–875. pdf
  • Del Pino, Manuel; Felmer, Patricio Semi-classical states of nonlinear Schrödinger equations: a variational reduction method. Math. Ann. 324 (2002), no. 1, 1–32. pdf
  • Del Pino, Manuel; Felmer, Patricio; Tanaka, Kazunaga. An elementary construction of complex patterns in nonlinear Schrödinger equations. Nonlinearity 15 (2002), no. 5, 1653–1671. pdf
  • Del Pino, Manuel; Felmer, Patricio; Musso, Monica. Multi-peak solutions for super-critical elliptic problems in domains with small holes. J. Differential Equations 182 (2002), no. 2, 511–540. pdf
  • Del Pino, Manuel; Flores, César. Asymptotics of Sobolev embeddings and singular perturbations for the p-Laplacian. Proc. Amer. Math. Soc. 130 (2002), no. 10, 2931–2939 (electronic). pdf
  • Del Pino, Manuel; Sáez, Mariel. Asymptotic description of vanishing in a fast-diffusion equation with absorption. Differential Integral Equations 15 (2002), no. 8, 1009–1023.
  • Del Pino, Manuel; Dolbeault, Jean. Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian. C. R. Math. Acad. Sci. Paris 334 (2002), no. 5, 365–370. pdf
  • Del Pino, M.; Felmer, P.; Musso, M. Spike patterns in the super-critical Bahri-Coron problem. Variational and topological methods in the study of nonlinear phenomena (Pisa, 2000), 89–103, Progr. Nonlinear Differential Equations Appl., 49, Birkhäuser Boston, Boston, MA, 2002. pdf
  • Del Pino, Manuel; Letelier, René. The influence of domain geometry in boundary blow-up elliptic problems. Nonlinear Anal. 48 (2002), no. 6, Ser. A: Theory Methods, 897–904.
  • Daskalopoulos, Panagiota; Del Pino, Manuel. Nonradial solvability structure of super-diffusive nonlinear parabolic equations. Trans. Amer. Math. Soc. 354 (2002), no. 4, 1583–1599 (electronic). pdf
  • Del Pino, Manuel; Flores, César. Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains. Comm. Partial Differential Equations 26 (2001), no. 11-12, 2189–2210. pdf
  • Del Pino, Manuel; Sáez, Mariel On the extinction profile for solutions of ut=Δu(N−2)/(N+2). Indiana Univ. Math. J. 50 (2001), no. 1, 611–628.
  • Del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu. The Gierer & Meinhardt system: the breaking of homoclinics and multi-bump ground states. Commun. Contemp. Math. 3 (2001), no. 3, 419–439.
  • Bamón, Rodrigo; Flores, Isabel; del Pino, Manuel. Ground states of semilinear elliptic equations: a geometric approach. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 5, 551–581.
  • Del Pino, Manuel; Felmer, Patricio L.; Sternberg, Peter. Boundary concentration for eigenvalue problems related to the onset of superconductivity. Comm. Math. Phys.210 (2000), no. 2, 413–446. pdf
  • Del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng. Multi-peak solutions for some singular perturbation problems. Calc. Var. Partial Differential Equations 10 (2000), no. 2, 119–134. pdf
  • Bamón, Rodrigo; Flores, Isabel; del Pino, Manuel. Positive solutions of elliptic equations in RN with a super-subcritical nonlinearity. C. R. Acad. Sci. Paris Sér. I Math.330 (2000), no. 3, 187–191. pdf
  • Del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng. On the role of distance function in some singular perturbation problems. Comm. Partial Differential Equations 25 (2000), no. 1-2, 155–177. pdf
  • Del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng. On the role of mean curvature in some singularly perturbed Neumann problems. SIAM J. Math. Anal. 31 (1999), no. 1, 63–79 (electronic). ppd
  • Del Pino, Manuel; Felmer, Patricio L. Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting. Indiana Univ. Math. J. 48 (1999), no. 3, 883–898.
  • Cortázar, Carmen; del Pino, Manuel; Elgueta, Manuel. The problem of uniqueness of the limit in a semilinear heat equation. Comm. Partial Differential Equations 24 (1999), no. 11-12, 2147–2172. pdf
  • Daskalopoulos, Panagiota; del Pino, Manuel. On the Cauchy problem for ut=Δlogu in higher dimensions. Math. Ann. 313 (1999), no. 2, 189–206.
  • Del Pino, Manuel; Drábek, Pavel; Manásevich, Raul The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian. J. Differential Equations 151 (1999), no. 2, 386–419. pdf
  • Del Pino, Manuel; Felmer, Patricio L. On the basic concentration estimate for the Ginzburg-Landau equation. Differential Integral Equations 11 (1998), no. 5, 771–779.
  • Del Pino, Manuel; Drábek, Pavel; Manasevich, Raul The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian. C. R. Acad. Sci. Paris Sér. I Math.327 (1998), no. 5, 461–465. pdf
  • Cortázar, Carmen; del Pino, Manuel; Elgueta, Manuel. On the blow-up set forut=Δum+um, m>1. Indiana Univ. Math. J. 47 (1998), no. 2, 541–561.
  • Del Pino, Manuel; Felmer, Patricio L.; Miyagaki, Olimpio H. Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential.Nonlinear Anal. 34 (1998), no. 7, 979–989.
  • Del Pino, Manuel; Felmer, Patricio L. Localizing spike-layer patterns in singularly perturbed elliptic problems. Proceedings of the International Conference on Asymptotics in Nonlinear Diffusive Systems (Sendai, 1997), 35–42, Tohoku Math. Publ., 8, Tohoku Univ., Sendai, 1998.
  • Del Pino, Manuel; Felmer, Patricio L. Multi-peak bound states for nonlinear Schrödinger equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998), no. 2, 127–149. pdf
  • Daskalopoulos, Panagiota; del Pino, Manuel. Recent progress on super-diffusive nonlinear parabolic problems. Reaction diffusion systems (Trieste, 1995), 107–119, Lecture Notes in Pure and Appl. Math., 194, Dekker, New York, 1998.
  • Del Pino, Manuel; Felmer, Patricio L. Semi-classical states for nonlinear Schrödinger equations. J. Funct. Anal. 149 (1997), no. 1, 245–265.pdf
  • Del Pino, Manuel; Felmer, Patricio L. Local minimizers for the Ginzburg-Landau energy. Math. Z. 225 (1997), no. 4, 671–684. pdf
  • Daskalopoulos, Panagiota; Del Pino, Manuel. On nonlinear parabolic equations of very fast diffusion. Arch. Rational Mech. Anal. 137 (1997), no. 4, 363–380. pdf
  • Cortázar, Carmen; del Pino, Manuel; Elgueta, Manuel. On the short-time behavior of the free boundary of a porous medium equation. Duke Math. J. 87 (1997), no. 1, 133–149. pdf
  • Del Pino, Manuel; Felmer, Patricio L. Local mountain passes for semilinear elliptic problems in unbounded domains. Calc. Var. Partial Differential Equations 4 (1996), no. 2, 121–137. pdf
  • Del Pino, Manuel A.; Felmer, Patricio L. Least energy solutions for elliptic equations in unbounded domains. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 1, 195–208.
  • Alama, Stanley; Del Pino, Manuel. Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking. Ann. Inst. H. Poincaré Anal. Non Linéaire13 (1996), no. 1, 95–115.
  • Del Pino, Manuel A.; Hernandez, Gaston E. Solvability of the Neumann problem in a ball for −Δu+u−v=h(|x|), v>1. J. Differential Equations 124 (1996), no. 1, 108–131. pdf
  • Daskalopoulos, Panagiota; del Pino, Manuel A. On a singular diffusion equation.Comm. Anal. Geom. 3 (1995), no. 3-4, 523–542.
  • Del Pino, Manuel; Felmer, Patricio. Locally energy-minimizing solution of the Ginzburg-Landau equation. C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 9, 1207–1211.
  • Del Pino, Manuel A.; Manásevich, Raúl F. T-periodic solutions for a second order system with singular nonlinearity. Differential Integral Equations 8 (1995), no. 7, 1873–1883.
  • Del Pino, Manuel A.; Felmer, Patricio L. Multiple solutions for a semilinear elliptic equation. Trans. Amer. Math. Soc. 347 (1995), no. 12, 4839–4853. pdf
  • Del Pino, Manuel A. Radially symmetric internal layers in a semilinear elliptic system.Trans. Amer. Math. Soc. 347 (1995), no. 12, 4807–4837pdf
  • Daskalopoulos, Panagiota; del Pino, Manuel A. On fast diffusion nonlinear heat equations and a related singular elliptic problem. Indiana Univ. Math. J. 43 (1994), no. 2, 703–728.
  • Del Pino, Manuel A. Positive solutions of a semilinear elliptic equation on a compact manifold. Nonlinear Anal. 22 (1994), no. 11, 1423–1430. pdf
  • Del Pino, Manuel A. A priori estimates and applications to existence-nonexistence for a semilinear elliptic system. Indiana Univ. Math. J. 43 (1994), no. 1, 77–129.
  • Del Pino, Manuel A.; Manásevich, Raúl F. Infinitely many T-periodic solutions for a problem arising in nonlinear elasticity. J. Differential Equations 103 (1993), no. 2, 260–277. pdf
  • Del Pino, Manuel Adrian; Some semilinear elliptic systems without variational structure. Thesis (Ph.D.)–University of Minnesota. 1992. 104 pp, ProQuest LLC
  • Del Pino, Manuel A. A global estimate for the gradient in a singular elliptic boundary value problem. Proc. Roy. Soc. Edinburgh Sect. A 122 (1992), no. 3-4, 341–352.
  • Del Pino, Manuel A. Layers with nonsmooth interface in a semilinear elliptic problem.Comm. Partial Differential Equations 17 (1992), no. 9-10, 1695–1708. pdf
  • Del Pino, Manuel A.; Manásevich, Raúl F.; Murúa, Alejandro On the number of 2πperiodic solutions for u′′+g(u)=s(1+h(t)) using the Poincaré-Birkhoff theorem. J. Differential Equations 95 (1992), no. 2, 240–258. pdf
  • Del Pino, Manuel; Manásevich, Raúl; Montero, Alberto T-periodic solutions for some second order differential equations with singularities. Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), no. 3-4, 231–243.
  • Del Pino, Manuel A.; Manásevich, Raúl F.; Murúa, Alejandro E. Existence and multiplicity of solutions with prescribed period for a second order quasilinear ODE.Nonlinear Anal. 18 (1992), no. 1, 79–92. pdf
  • Del Pino, Manuel A.; Manásevich, Raúl F. Global bifurcation from the eigenvalues of the p-Laplacian. J. Differential Equations 92 (1991), no. 2, 226–251. pdf
  • Del Pino, Manuel; Elgueta, Manuel; Manásevich, Raúl Generalizing Hartman’s oscillation result for (|x′|p−2x′)′+c(t)|x|p−2x=0,p>1. Houston J. Math. 17 (1991), no. 1, 63–70.
  • Del Pino, Manuel A.; Manásevich, Raúl F. Multiple solutions for the p-Laplacian under global nonresonance. Proc. Amer. Math. Soc. 112 (1991), no. 1, 131–138. pdf
  • Del Pino, Manuel A.; Manásevich, Raúl F. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition. Proc. Amer. Math. Soc. 112 (1991), no. 1, 81–86. pdf
  • Del Pino, Manuel; Manásevich, Raúl Some nonlinear Sturmian theory for (|u′|p−2u′)′+c(t)|u|p−2u=0. Differential equations (Xanthi, 1987), 183–190, Lecture Notes in Pure and Appl. Math., 118, Dekker, New York (1989).
  • Del Pino, Manuel; Elgueta, Manuel; Manásevich, Raúl. A homotopic deformation along p of a Leray-Schauder degree result and existence for (|u′|p−2u′)′+f(t,u)=0,u(0)=u(T)=0,p>1. J. Differential Equations 80 (1989), no. 1, 1-13. pdf
  • Del Pino, Manuel; Manásevich, Raúl Oscillation and non oscillation for (|u′|p−2u′)′+a(t)|u|p−2u=0,p>1. Houston J. Math. 14 (1988), no. 2, 173–177.