Results of singular Direchelet problem involving the $p(x)$-laplacian with critical growth

In this paper, we study the existence and multiplicity of solutions for Dirichlet singular elliptic problems involving  the $p(x)$-Laplace equation with critical growth. The technical approach is mainly based on the variational method combined with the genus theory.

Bibliographic Details
Main Authors: Hassan Belaouidel, Mustapha Haddaoui, Najib Tsouli
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52984