Existence results for Dirichlet problems with degenerated p-Laplacian
| Autor: | Albo Carlos Cavalheiro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Opuscula Mathematica, Vol 33, Iss 3, Pp 439-453 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1232-9274 |
| DOI: | 10.7494/OpMath.2013.33.3.439 |
| Popis: | In this article, we prove the existence of entropy solutions for the Dirichlet problem \[(P)\left\{ \begin{array}{ll} & -{\rm div}[{\omega}(x){\vert{\nabla}u\vert}^{p-2}{\nabla}u]= f(x) - {\rm div}(G(x)),\ \ {\rm in} \ \ {\Omega} \\ & u(x)=0, \ \ {\rm in} \ \ {\partial\Omega} \end{array} \right.\] where \(\Omega\) is a bounded open set of \(\mathbb{R}^N\) \( (N \geq 2)\), \(f \in L^1(\Omega)\) and \(G/\omega \in [L^p(\Omega,\omega)]^N\). |
| Databáze: | Directory of Open Access Journals |
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