Existence of solutions for $p(x)$-Laplacian equations

We discuss the problem \begin{equation*} \left\{ \begin{array}{ll} -\operatorname{div}\left( \left\vert \nabla u\right\vert ^{p(x)-2}\nabla u\right) =\lambda (a\left( x\right) \left\vert u\right\vert ^{q(x)-2}u+b(x)\left\vert u\right\vert ^{h(x)-2}u)\text{,} & \text{for }x\in \Omega , \\ u=0\te...

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Bibliographic Details
Main Authors: Rabil Ayazoglu (Mashiyev), B. Cekic, O. M. Buhrii
Format: Article
Language:English
Published: University of Szeged 2010-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=525

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