Nonlinear degenerate elliptic equations in weighted Sobolev spaces
| Autor: | Aharrouch Benali, Bennouna Jaouad |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2020, Iss 105,, Pp 1-15 (2020) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | We study the existence of solutions for the nonlinear degenerated elliptic problem $$\displaylines{ -\operatorname{div} a(x,u,\nabla u)=f \quad\text{in } \Omega,\cr u=0 \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded open set in $\mathbb{R}^N$, $N\geq2$, a is a Caratheodory function having degenerate coercivity $a(x,u,\nabla u)\nabla u\geq \nu(x)b(|u|)|\nabla u|^p$, 1 |
| Databáze: | Directory of Open Access Journals |
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