Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index |
| |
Authors: | Everaldo Medeiros |
| |
Affiliation: | a Departamento de Matemática-Universidade Federal da Paraíba, 58051-900, João Pessoa - PB, Brazil b Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA |
| |
Abstract: | In this paper we study a quasilinear elliptic problem with the Dirichlet boundary condition in a bounded domain involving the operator Au=−Δpu−Δqu. Assuming that the nonlinearity has a concave-convex behavior we obtain some multiplicity results. More precisely, we obtain five nontrivial solutions; two by a minimization argument, two by the mountain pass theorem, and the other by a cohomological linking theorem. |
| |
Keywords: | 35J60 35J70 |
本文献已被 ScienceDirect 等数据库收录! |
|