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arXiv · 1703.08608

Existence and regularity of positive solutions of quasilinear elliptic problems with singular semilinear term

José V. A. Goncalves·Marcos L. M. Carvalho·Carlos Alberto Santos
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Abstract

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

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José V. A. Goncalves, Marcos L. M. Carvalho, Carlos Alberto Santos. 2017-03-24. Existence and regularity of positive solutions of quasilinear elliptic problems with singular semilinear term. https://arxiv.org/abs/1703.08608

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