Existence of solutions for a Steklov proble involving the $p(x)$-Laplacian
By applying two versions of Mountain Pass Theorem, we prove two different situations of the existence of solutions for the following Steklov problem $\Delta_{p(x)}u =|u|^{p(x)-2}u$ in $\Omega$, $|\nabla u|^{p(x)-2}\frac{\partial u}{\partial \nu}= \lambda |u|^{q(x)-2}u$ on $\partial\Omega$, where $\O...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2014-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15731 |