Existence and uniqueness of the solutions of some degenerate nonlinear elliptic equations
| Autor: | Albo Carlos Cavalheiro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Opuscula Mathematica, Vol 34, Iss 1, Pp 15-28 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1232-9274 |
| DOI: | 10.7494/OpMath.2014.34.1.15 |
| Popis: | In this paper we are interested in the existence of solutions for the Dirichlet problem associated with degenerate nonlinear elliptic equations \[\begin{split}&-\sum_{j=1}^n D_j{\bigl[}{\omega}(x) {\cal A}_j(x, u, {\nabla}u){\bigr]} + b(x, u, {\nabla}u)\,{\omega}(x) + g(x)\,u(x)=\\&= f_0(x) - \sum_{j=1}^nD_jf_j(x) \quad{\rm on}\quad {\Omega}\end{split}\] in the setting of the weighted Sobolev spaces \({\rm W}_0^{1,p}(\Omega, \omega)\). |
| Databáze: | Directory of Open Access Journals |
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