The Nehari manifold approach for $p(x)$-Laplacian problem with Neumann boundary condition
In this paper, we consider the system \begin{eqnarray*} \left\{\begin{array}{ll} -\Delta_{p(x)} u + |u|^{p(x)-2}u = \lambda a(x)|u|^{r_1(x)-2}u + \frac{\alpha(x)}{\alpha(x) + \beta(x)} c(x)|u|^{\alpha(x)-2}u|v|^{\beta(x)} &~\textrm{in}~\Omega\\ -\Delta_{q(x)} v+|v|^{q(x)-2}v = \mu b(x)|...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2013-07-01
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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=2198 |