Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem

• Published in: Milan Journal Of Mathematics, vol. 79, p. 327-341
• Publication date: 2011

For a class of second order quasilinear elliptic equations we establish the existence of two non-negative weak solutions of the Dirichlet problem on a bounded domain, Omega. Solutions of the boundary value problem are critical points of C-1-functional on H-0(1) (Omega). One solution is a local minimum and the other is of mountain pass type.

Keywords: Mountain pass solution ; Cerami sequence ; Cylindrical Tm-Modes ; Existence

Reference

• EPFL-ARTICLE-171036
• doi:10.1007/s00032-011-0140-0
• View record in Web of Science

Record created on 2011-12-16, modified on 2016-08-09