| Autor: |
Goncalves, José V. A., Carvalho, Marcos L. M., Santos, Carlos Alberto |
| Rok vydání: |
2017 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
This paper deals with existence and regularity of positive solutions of singular elliptic problems on a smooth bounded domain with Dirichlet boundary conditions involving the $\Phi$-Laplacian operator. The proof of existence is based on a variant of the generalized Galerkin method that we developed inspired on ideas by Browder and a comparison principle. By using a kind of Moser iteration scheme we show $L^{\infty}(\Omega)$-regularity for positive solutions |
| Databáze: |
arXiv |
| Externí odkaz: |
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