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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Format: | Article |
Language: | English |
Published: |
University of Szeged
2011-06-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=561 |