Publicationsadmin2018-01-24T11:44:54+00:00
- 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. (pdf)
- Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M. On the variational structure of breather solutions I: Sine-Gordon equation.J. Math. Anal. Appl. 453 (2017), no. 2, 1111–1138.
- Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M. On the variational structure of breather solutions II: Periodic mKdV equation. Electron. J. Differential Equations, Paper No. 56, 26 pp.
- Barchiesi, Marco; Henao, Duvan; Mora-Corral, Carlos; Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity. Arch. Ration. Mech. Anal. 224 (2017), no. 2, 743–816. (pdf)
- Barles, Guy; Ley, Olivier; Topp, Erwin Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behaviour.Nonlinearity 30 (2017), no. 2, 703–734.
- Barrios, Begoña; Del Pezzo, Leandro; García-Melián, Jorge; Quaas, Alexander A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions. Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5731–5746.
- Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A.; Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. Calc. Var. Partial Differential Equations 56 (2017), no. 2, 56:39. (pdf)
- Barrios, Begoña; Del Pezzo, Leandro; García-Melián, Jorge; Quaas, Alexander, A priori bounds and existence of solutions for some nonlocal elliptic problems; to appear in Rev. Iberoamericana. (pdf)
- Benguria, Rafael D.; Fournais, Søren; Stockmeyer, Edgardo; Van Den Bosch, Hanne Self-adjointness of two-dimensional Dirac operators on domains. Ann. Henri Poincaré 18 (2017), no. 4, 1371–1383.
- Benguria, Rafael D.; Fournais, Søren; Stockmeyer, Edgardo; Van Den Bosch, Hanne Spectral gaps of Dirac operators describing graphene quantum dots. Math. Phys. Anal. Geom. 20 (2017), no. 2, Art. 11, 12 pp.
- Chipot, Michel; Dávila, Juan; del Pino, Manuel; On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains, J. Fixed Point Theory Appl. 19 (2017), no. 1, 205–213.
- Clerc, Marcel G.; Dávila, Juan Diego; Kowalczyk, Michał; Smyrnelis, Panayotis; Vidal-Henriquez, Estefania Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation Calc. Var. Partial Differential Equations 56 (2017), no. 4, Art. 93, 22 pp.
- P. Daskalopoulos, M. del Pino, N. Sesum Type II ancient compact solutions to the Yamabe flow. To appear in J. Reine Angel. Math. DOI: https://doi.org/10.1515/crelle-2015-0048.
- Dávila, Gonzalo; Quaas, Alexander; Topp, Erwin Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms Math. Ann. 369 (2017), no. 3-4, 1211–1236.
- Dávila, Juan; del Pino, Manuel; Nguyen, Xuan Hien Finite topology self-translating surfaces for the mean curvature flow in ℝ3.Adv. Math. 320 (2017), 674–729.
- Juan Dávila, Jorge Faya, Fethi Mahmoudi, New type of solutions to a slightly subcritical Hénon type problem on general domains. J. Differential Equations 263 (2017), no. 11, 7221–7249. (pdf)
- Dávila, J.; del Pino, M: & Wei, J., Nonlocal s-minimal surfaces and Lawson cones, to appear in Journal of Differential Geometry. (arxiv).
- Juan Dávila, Louis Dupaigne, Juncheng Wei, On the fractional Lane-Emden equation. Trans. Amer. Math. Soc. 369 (2017), no. 9, 6087–6104. (pdf)
- Dávila, Juan; López Ríos, Luis; Sire, Yannick, Bubbling solutions for nonlocal elliptic problems. To appear in Rev. Mat. Iberoamericana. (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)
- Del Pezzo, Leandro M.; Quaas, Alexander; A Hopf’s lemma and a strong minimum principle for the fractional Laplacian, J. Differential Equations 263 (2017), no. 1, 765–778. (arxiv)
- Del Pezzo, Leandro M.; Quaas, Alexander; Non-resonant Fredholm alternative and anti-maximum principle for the fractional p-Laplacian. J. Fixed Point Theory Appl.19 (2017), no. 1, 939–958. (arxiv)
- 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)
- González-Melendez, Osiris; Quaas, Alexander; On critical exponents for Lane–Emden–Fowler-type equations with a singular extremal operator. Ann. Mat. Pura Appl. (4) 196 (2017), no. 2, 599–615. (researchgate)
- Henao, Duvan; Majumdar, Apala; Pisante, Adriano; Uniaxial versus biaxial character of nematic equilibria in three dimensions. Calc. Var. Partial Differential Equations 56 (2017), no. 2, 56:55. (arxiv)
- Zied Khemiri, Fethi Mahmoudi, Abdelattif Messaoudi, Concentration on submanifolds for an Ambrosetti-Prodi type problem, . Calc. Var. Partial Differential Equations 56 (2017), no. 2, Art. 19, 40 pp. (pdf).
- Kim, Seunghyeok; Musso, Monica; Wei, Juncheng A non-compactness result on the fractional Yamabe problem in large dimensions. J. Funct. Anal. 273 (2017), no. 12, 3759–3830.
- Michal Kowalczyk, Yvan Martel, Claudio Muñoz, Nonexistence of small, odd breathers for a class of nonlinear wave equations. Lett. Math. Phys. 107 (2017), no. 5, 921–931. (arxiv).
- Michal Kowalczyk, Yvan Martel, Claudio Muñoz, Kink dynamics in the phi^4 model: asymptotic stability for odd perturbations in the energy space. J. Amer. Math. Soc. 30 (2017), no. 3, 769–798. (arxiv).
- C. Muñoz, Instability in nonlinear Schrodinger breathers, accepted for publication in Proyecciones (arxiv).
- Musso, Monica; Sign-changing blowing-up solutions for a non-homogeneous elliptic equation at the critical exponent. J. Fixed Point Theory Appl. 19 (2017), no. 1, 345–361. (researchgate)
- Nam, Phan Thành; Van Den Bosch, Hanne Nonexistence in Thomas–Fermi–Dirac–von Weizsäcker theory with small nuclear charges. Math. Phys. Anal. Geom. 20 (2017), no. 2, Art. 6, 32 pp.
- Alexander Quaas, Erwin Topp, Existence and Uniqueness of Large Solutions for a Class of Non Uni- formly Elliptic Semilinear Equations, to appear in Journal d’Analyse Math. pdf
- Topp, Erwin; Yangari, Miguel Existence and uniqueness for parabolic problems with Caputo time derivative. J. Differential Equations 262 (2017), no. 12, 6018–6046.
- Xia, Aliang; Quaas, Alexander; Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in R^N involving fractional Laplacian. Discrete Contin. Dyn. Syst. 37 (2017), no. 5, 2653–2668. (researchgate)
- Abdellaoui, Boumediene; Mahmoudi, Fethi; An improved Hardy inequality for a nonlocal operator, DCDS-A, Vol. 36, No. 3, 2016.
- Alarcón, Salomón; Burgos-Pérez, Miguel Ángel; García-Melián, Jorge; Quaas, Alexander Nonexistence results for elliptic equations with gradient terms. J. Differential Equations 260 (2016), no. 1, 758–780. (pdf)
- Alarcón, Salomón; Burgos-Pérez, Miguel Ángel; García-Melián, Jorge; Quaas, Alexander, Classification of supersolutions and Liouville theorems for some nonlinear elliptic problem, Discrete and Continuous Dynamical System – A Volume 36, Number 9, September 2016 pp. 4703-4721. (pdf)
- Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander, Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 16 (2016), no. 1, 129–158. (pdf)
- Ao, Weiwei; Musso, Monica; Pacard, Frank; Wei, Juncheng, Solutions without any symmetry for semilinear elliptic problems. J. Funct. Anal. 270 (2016), no. 3, 884–956. (arxiv)
- J.-F. Babadjian, D. Henao: Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination, Interfaces and Free Boundaries 18, no. 4 (2016), 545–578.
- Chen, Wenjing; Dávila, Juan; Guerra, Ignacio Bubble tower solutions for a supercritical elliptic problem in R^N. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 15 (2016), 85–116. pdf
- 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
- Côte, Raphaël; Muñoz, Claudio; Pilod, Didier; Simpson, Gideon, Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons. Arch. Ration. Mech. Anal. 220 (2016), no. 2, 639–710. (arxiv)
- 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
- 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)
- Dávila, Juan; Guerra, Ignacio; Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents. J. Anal. Math. 129 (2016), 367–391. pdf
- Davila, Gonzalo; Topp; Erwin; Quaas, Alexander, Continuous viscosity solutions nonlocal Dirichlet problems with coercive gradient terms. Math. Ann. DOI 10.1007/s00208-016-1481-3. pdf
- Dávila, Juan; Wang, Kelei; Wei, Juncheng Qualitative analysis of rupture solutions for a MEMS problem. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 1, 221–242. pdf
- Del Pezzo, Leandro; Quaas, Alexander; Global Bifurcation for Fractional p-Laplacian and an Application. Z. Anal. Anwend. 35 (2016), no. 4, 411–447. pdf
- Del Pezzo, Leandro .; Quaas, Alexander, Global Bifurcation for Fractional p-Laplacian and an Application. Z. Anal. Anwend. 35 (2016), no. 4, 411–447.
- 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)
- Deng, Shengbing; Musso, Monica; Pistoia, Angela; Concentration on minimal submanifolds for a Yamabe-type problem. Comm. Partial Differential Equations 41 (2016), no. 9, 1379–1425. (arxiv)
- Deng, Shengbing; Mahmoudi, Fethi; Musso, Monica, Bubbling on boundary submanifolds for a semilinear Neumann problem near high critical exponents. Discrete Contin. Dyn. Syst. 36 (2016), no. 6, 3035–3076.
- Jorge García-Melián, Alexander Quaas, Boyan Sirakov, Elliptic Equation with absorption in the half space, Bull Braz Math Soc, New Series 47 (3), 811-821.
- Danilo Garrido, Monica Musso, Entire sign-changing solutions with finite energy to the fractional Yamabe equation. Pacific J. Math. 283 (2016), no. 1, 85–114.
- Osiris González-Melendez, Alexander Quaas, On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator, Annali di Matematica, DOI 10.1007/s10231-016-0588-1. pdf
- Duván Henao, Carlos Mora-Corral, Xianmin Xu, A numerical study of void coalescence and fracture in nonlinear elasticity. Comput. Methods Appl. Mech. Engrg. 303 (2016), 163–184.
- Isabella Ianni, Monica Musso, Angela Pistoia, Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole. Commun. Contemp. Math. 18 (2016), no. 1, 1550017, 18 pp.
- Anna Kazeykina, Claudio Muñoz, Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. J. Funct. Anal. 270 (2016), no. 5, 1744–1791. (arxiv)
- Mahmoudi, Fethi; Nouaili, Nejla; Zaag, Hatem Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile. Nonlinear Anal. 131 (2016), 300–324. (arxiv)
- Claudio Muñoz, The Gardner equation and the stability of multi-kink solutions of the mKdV equation. Discrete Contin. Dyn. Syst. 36 (2016), no. 7, 3811–3843. (arxiv)
- Monica Musso; Juncheng Wei, Shusen Yan, Infinitely many positive solutions for a nonlinear field equation with super-critical growth. Proc. Lond. Math. Soc. (3) 112 (2016), no. 1, 1–26.
- Monica Musso, Angela Pistoia, Juncheng Wei, New blow-up phenomena for SU(n+1) Toda system. J. Differential Equations 260 (2016), no. 7, 6232–6266. (arxiv)
- Monica Musso, Juncheng Wei, Sign-changing blowing-up solutions for supercritical Bahri-Coron’s problem. Calc. Var. Partial Differential Equations 55 (2016), no. 1, Art. 1, 39 pp. (arxiv)
- Alexander Quaas, Aliang Xia, Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions. Z. Angew. Math. Phys. 67 (2016), no. 3, Art. 40, 21 pp. 3
- Alexander Quaas, Aliang Xia, A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian. Nonlinearity 29 (2016) 2279-2297.
- Abdellaoui, B.; Biroud, K.; Davila, J.; Mahmoudi, F. Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Commun. Contemp. Math. 17 (2015), no. 3, 1450033, 28 pp. 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
- Alejo, Miguel A.; Muñoz, Claudio Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers. Anal. PDE 8 (2015), no. 3, 629–674.
- Chen, Huyuan; Felmer, Patricio; Quaas, Alexander; Self-generated interior blow-up solutions of fractional elliptic equation with absorption. Differential Integral Equations 28 (2015), no. 9-10, 839–860. pdf
- Chen, Wenjing; Guerra, Ignacio. Multiplicity of solutions to nearly critical elliptic equation in the bounded domain of R3. J. Math. Anal. Appl. 424 (2015), no. 1, 179–200. pdf
- Dávila, Juan; Pistoia, Angela; Vaira, Giusi. Bubbling solutions for supercritical problems on manifolds. J. Math. Pures Appl. (9) 103 (2015), no. 6, 1410–1440. pdf
- 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
- Deng, Shengbing; Garrido, Danilo; Musso, Monica. Multiple blow-up solutions for an exponential nonlinearity with potential in R2. Nonlinear Anal. 119 (2015), 419–442. pdf
- Deng, Shengbing; Musso, Monica Critical points of the Trudinger-Moser trace functional with high energy levels. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (2015), no. 1, 59–95. pdf
- Henao, Duvan; Mora, Carlos; Xu, Xiaoqian. Gamma-convergence approximation of fracture and cavitation in nonlinear elasticity (with C. Mora-Corral & X. Xu), Arch. Ration. Mech. Anal. 216 (2015) 813–879.
- Henao, Duvan; Mora-Corral, Carlos; Xu, Xianmin. A numerical study of void coalescence and fracture in nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering. 303. (2016), Pages 163–184 pdf
- M.M. Fall, F. Mahmoudi, and E. Valdinocci, Ground states and concentration phenomena for the fractional Shrödinger equation, Nonlinearity 28 (2015), no. 6, 1937–1961. (arxiv)
- Mahmoudi, Fethi; Sánchez, Felipe Subiabre; Yao, Wei. On the Ambrosetti-Malchiodi-Ni conjecture for general submanifolds. J. Differential Equations 258 (2015), no. 2, 243–280. pdf
- Quaas, Alexander; Xia, Aliang. Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space. Calc. Var. Partial Differential Equations 52 (2015), no. 3-4, 641–659. pdf
- Henao, Duvan; C. Mora-Corral, Regularity of inverses of Sobolev deformations with finite surface energy, J. Funct. Anal. 268 (2015) 2356–2378.
- Chen, HY; Felmer, P;Quaas, A, Self-Generated Interior Blow-Up Solutions Of Fractional Elliptic Equation With Absorption, Differential And Integral Equations (2015). pdf
- Felmer, P; Torres, C Non-linear Schrodinger equation with non-local regional diffusion, Calculus Of Variations And Partial Differential Equations Scopus (2015). pdf
- Felmer, P; Vergara, I, Scalar field equation with non-local diffusion, Nodea-Nonlinear Differential Equations and Applications (2015). pdf
- Chen, HY; Felmer, P;Quaas, A, Large solutions to elliptic equations involving fractional Laplacian, Annales De L Institut Henri Poincare- Analyse Non Lineaire (2015). pdf
- M.A. Alejo, C. Muñoz, Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear Electrodynamics, preprint (arxiv).
- M. Cavalcante, C. Muñoz, Stability of KdV solitons on the half-line, preprint (arxiv).
- Huyuan Chen, Alexander Quaas, Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results. (arxiv)
- Carmen Cortázar, Manuel del Pino, Monica Musso, Green’s function and infinite-time bubbling in the critical nonlinear heat equation. (arxiv)
- Juan Davila, Manuel del Pino, Juncheng Wei, Singularity formation for the two-dimensional harmonic map flow into S^2. (arxiv)
- Duván Henao, Carlos Mora-Corral, Xianmin Xu, A numerical study of void coalescence and fracture in nonlinear elasticity. pdf
- Anna Kazeykina, Claudio Muñoz, Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II., (arxiv).
- Claudio Muñoz, Well-posedness for modulationally unstable nonlinear Schrödinger equations, and applications, (arxiv).
- C. Muñoz, F. Poblete and J.C. Pozo, Scattering in the energy space for Boussinesq equations, preprint (arxiv).
- Alexander Quaas, Andrei Rodríguez, Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms. (arxiv)
- Alexander Quaas, Ariel Salort, Aliang Xia, Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term. (arxiv)
- Alexander Quaas, Aliang Xia, Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in R^N involving fractional Laplacian. (arxiv)
- Alexander Quaas, Aliang Xia, Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian. (arxiv)
- 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.
- Shenbing Deng, Zied Khemiri, Fethi Mahmoudi, On spike solutions for a singular perturbed problem on compact Riemannian manifolds. CPAA to appear.
- Rupert Frank, Phan Tành Nam, Hanne Van Den Bosch, The ionization conjecture in Thomas-Fermi-Dirac-von Weizsäcker theory, accepted in Communications in Pure and Applied Mathematics.
- Kim, Seunghyeok; Musso, Monica; Wei, Juncheng Existence theorems of the fractional Yamabe problem. Anal. PDE 11 (2018), no. 1, 75–113.
- Quaas, Alexander; Rodríguez, Andrei; Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms. J. Differential Equations 264 (2018), no. 4, 2897–2935.