Existence of Weak Solution for p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-like Operator by Topological Degree  

作　　者：EL OUAARABI Mohamed ALLALOU Chakir MELLIANI Said 

机构地区：[1]Applied Mathematics and Scientific Computing Laboratory,Faculty of Sciences and Techniques,Sultan Moulay Slimane University,Beni Mellal,Morocco

出　　处：《Journal of Partial Differential Equations》2023年第2期203-219,共17页偏微分方程（英文版）

摘　　要：In this paper,we study the existence of"weak solution"for a class of p(x)-Kirchhoff type problem involving the p(x)-Laplacian-like operator depending on two real parameters with Neumann boundary condition.Using a topological degree for a class of demicontinuous operator of generalized(S_(+))type and the theory of the variable exponent Sobolev space,we establish the existence of"weak solution"of this problem.

关 键 词：p(x)-Kirchhoff type problem p(x)-Laplacian-like operator weak solution topological degree methods variable exponent Sobolev space 

分 类 号：O175.8[理学—数学] O175.25[理学—基础数学]