On the superlinear problem involving the $p(x)$-Laplacian

This paper deals with the superlinear elliptic problem without Ambrosetti and Rabinowitz type growth condition of the form: \begin{align*}\left\{ \begin{aligned} &-div(|\nabla u|^{p(x)-2}\nabla u)=\lambda f(x,u) \quad \text{in } \Omega,\\ &u=0 \quad \text{on } \partial \Omega, \end{aligned}...

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Bibliographic Details
Main Author: Chao Ji
Format: Article
Language:English
Published: University of Szeged 2011-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=561