<i>p</i>(<i>x</i>)-Kirchhoff-type problem with no-flux boundary conditions and convection-Reference-Cited by-同舟云学术

p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection

Published:2023-01-01 Issue:1 Volume:10 Page:
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Yacini Soukaina¹,El Ouaarabi Mohamed²,Allalou Chakir¹,Hilal Khalid¹

Affiliation:

1. Applied Mathematics and Scientific Computing Laboratory, Faculty of Sciences and Technics, Sultan Moulay Slimane University , BP 523, 23000 , Beni Mellal , Morocco

2. Fundamental and Applied Mathematics Laboratory, Faculty of Sciences Ain Chock, Hassan II University , BP 5366, 20100 , Casablanca , Morocco

Abstract

Abstract This article establishes the existence of a weak solution for a class of

p ( x )

p\left(x)

-Kirchhoff-type problem under no-flux boundary conditions with a reaction term depending also on the gradient convection. The proof of the main result is constructed by utilizing the theory of topological degree and the theory of generalized Sobolev spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2023-0105/pdf

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