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.

Details

Title
On a new p(x)-Kirchhoff type problems with p(x)-Laplacian-like operators and Neumann boundary conditions
Author
Mohamed El Ouaarabi 1 ; Chakir Allalou 1 ; Melliani, Said 1 

 Laboratory LMACS, Faculty of Science and Technology of Beni Mellal, Sultan Moulay Slimane University, Beni Mellal, BP 523, 23000, Morocco 
Pages
91-108
Publication year
2023
Publication date
2023
Publisher
De Gruyter Poland
ISSN
18446094
e-ISSN
20667752
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3155207745
Copyright
© 2023. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.