An Orlicz-Sobolev space setting for quasilinear elliptic problems

Date

2005-03-08

Authors

Halidias, Nikolaos

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition.

Description

Keywords

Landesman-Laser conditions, Critical point theory, Nontrivial solution, Cerami (PS) condition, Mountain-Pass Theorem, Interpolation inequality

Citation

Halidias, N. (2005). An Orlicz-Sobolev space setting for quasilinear elliptic problems. <i>Electronic Journal of Differential Equations, 2005</i>(29), pp. 1-7.

Rights

Attribution 4.0 International

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