Variable exponent $p(\cdot)$-Kirchhoff type problem with convection in variable exponent Sobolev spaces

Variable exponent $p(\cdot)$-Kirchhoff type problem with convection in variable exponent Sobolev spaces

We establish the existence of weak solution for a class of $p(x)$-Kirchhoff type problem for the $p(x)$-Laplacian-like operators with Dirichlet boundary condition and with gradient dependence (convection) in the reaction term. Our result is obtained using the topological degree for a class of demic...

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Bibliographic Details
Main Authors: Hasnae El Hammar, Mohamed El Ouaarabi, Chakir Allalou, Said Melliani
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/62976

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https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62976

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