On the existence solutions for some Nonlinear elliptic problem

In the present paper, we study the existence and regularity of positive solutions for the following boundary value problem : $\mathrm{-div}\> \big( \lvert\nabla u\rvert^{p-2}\nabla u ) + u^{s} = \dfrac{f}{u^{\alpha}}\mbox{ in } \Omega \mbox{ and } u=0\mbox{ on } \partial\Omega,$ where $ \Omega $...

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Bibliographic Details
Main Authors: Abdelmoujib Benkirane, Badr El Haji, Mostafa El Moumni
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/53111