On a new p(x)-Kirchhoff type problems with p(x)-Laplacian-like operators and Neumann boundary conditions

Mohamed El Ouaarabi; Chakir Allalou; Said Melliani

doi:10.2478/ausm-2023-0006

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On a new p(x)-Kirchhoff type problems with p(x)-Laplacian-like operators and Neumann boundary conditions

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 1 (November 2023)

By: Mohamed El Ouaarabi, Chakir Allalou and Said Melliani

Open Access

|Nov 2023

Abstract

In this paper we study a Neumann boundary value problem of a new p(x)-Kirchhoff type problems driven by p(x)-Laplacian-like operators. Using the theory of variable exponent Sobolev spaces and the method of the topological degree for a class of demicontinuous operators of generalized (S₊) type,weprove theexistenceofaweak solutionsof this problem. Our results are a natural generalisation of some existing ones in the context of p(x)-Kirchhoff type problems.

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0006 | Journal eISSN: 2066-7752

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Language: English

Page range: 91 - 108

Submitted on: Jan 31, 2022

Published online: Nov 15, 2023

Published in print: Nov 1, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

p(x)-Kirchhoff type problems,

p(x)-Laplacian-like operators,

Neumann boundary conditions,

topological degree methods,

weak solutions,

variable exponent Sobolev spaces

MSC:

35J60,

35J70,

35D30,

47H11

Related subjects:

Mathematics,

General mathematics

© 2023 Mohamed El Ouaarabi, Chakir Allalou, Said Melliani, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 1 (November 2023)