Multiple solutions for a class of $p(x)$-Laplacian problems involving concave-convex nonlinearities
Using variational methods, we prove a multiplicity result for a class of $p(x)$-Laplacian problems of the form $$ \left\{\begin{array}{ll} -\mathrm{div}\big(|\nabla u|^{p(x)-2}\nabla u\big)=\lambda |u|^{r(x)-2}u+f(x,u) \quad \text{ in } \Omega,\\ u = 0, \quad \text{ on } \partial\Omega, \end{array}\...
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2257 |