salomon alarcon

Salomón Alarcón

PhD in Engineering Sciences with specialization in Mathematical Modeling, Universidad de Chile (1998)
Bachelor degree in Education with specialization in Mathematics, Universidad de Concepción, Chile.

Position: Full Professor

Institution: Universidad Técnico Federico Santa María

Research area: Partial Differential Equations.

Contact:

Email: salomon.alarcon@gmail.com

Phone: +56 3 2265 4487

Adress: Avenida España 1680. Valparaíso, Chile.

Publications

  • Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander Existence and non-existence of solutions to elliptic equations with a general convection term. Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), no. 2, 225–239. pdf
  • Alarcón, Salomón; Quaas, A. Large viscosity solutions for some fully nonlinear equations. NoDEA Nonlinear Differential Equations Appl. 20 (2013), no. 4, 1453–1472. pdf
  • Alarcón, Salomón; Díaz, G.; Rey, J. M. The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: the power like case. Z. Angew. Math. Phys. 64 (2013), no. 3, 659–677. pdf
  • Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander. Liouville type theorems for elliptic equations with gradient terms. Milan J. Math. 81 (2013), no. 1, 171–185. pdf
  • Alarcón, S.; García-Melián, J.; Quaas, A. Nonexistence of positive supersolutions to some nonlinear elliptic problems. J. Math. Pures Appl. (9) 99 (2013), no. 5, 618–634. pdf
  • Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander. Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity. J. Anal. Math. 118 (2012), no. 1, 83–104. pdf
  • Alarcón, Salomón; Iturriaga, Leonelo; Quaas, Alexander Existence and multiplicity results for Pucci’s operators involving nonlinearities with zeros. Calc. Var. Partial Differential Equations 45 (2012), no. 3-4, 443–454. pdf
  • Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander Keller-Osserman type conditions for some elliptic problems with gradient terms. J. Differential Equations252 (2012), no. 2, 886–914. pdf
  • Alarcón, Salomón; Quaas, Alexander Large number of fast decay ground states to Matukuma-type equations. J. Differential Equations 248 (2010), no. 4, 866–892. pdf
  • Alarcón, S.; Díaz, G.; Letelier, R.; Rey, J. M. Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation. Nonlinear Anal. 72 (2010), no. 5, 2426–2443. pdf
  • Alarcón, Salomón. Multiple solutions for a critical nonhomogeneous elliptic problem in domains with small holes. Commun. Pure Appl. Anal. 8 (2009), no. 4, 1269–1289. pdf
  • Alarcón, Salomón Double-spike solutions for a critical inhomogeneous elliptic problem in domains with small holes. Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), no. 4, 671–692. pdf