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

被引：0
作者：
El Ouaarabi, Mohamed [1 ]
Allalou, Chakir [1 ]
Melliani, Said [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Fac Sci & Technol Beni Mellal, Lab LMACS, BP 523, Beni Mellal 23000, Morocco
来源：
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2023年 / 15卷 / 01期
关键词：
p(x)-Kirchhoff type problems; p(x)-Laplacian-like operators; Neumann boundary conditions; topological degree methods; weak solutions; variable exponent Sobolev spaces; MINIMIZERS; EXISTENCE;
D O I：
10.2478/ausm-2023-0006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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收藏
页码：91 / 108
页数：18
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