<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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<sub>+</sub>) 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.</p>
</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.

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

Laboratory LMACS, Faculty of Science and Technology of Beni Mellal

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Nov 15, 2023

Page range: 91 - 108

Received: Jan 31, 2022

DOI: https://doi.org/10.2478/ausm-2023-0006

Keywords
p(x)-Kirchhoff type problems, p(x)-Laplacian-like operators, Neumann boundary conditions, topological degree methods, weak solutions, variable exponent Sobolev spaces

© 2023 Mohamed El Ouaarabi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 15, 2023

Page range: 91 - 108

Received: Jan 31, 2022

DOI: https://doi.org/10.2478/ausm-2023-0006

Keywordsp(x)-Kirchhoff type problems, p(x)-Laplacian-like operators, Neumann boundary conditions, topological degree methods, weak solutions, variable exponent Sobolev spaces

© 2023 Mohamed El Ouaarabi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
p(x)-Kirchhoff type problems, p(x)-Laplacian-like operators, Neumann boundary conditions, topological degree methods, weak solutions, variable exponent Sobolev spaces