Existence of solutions for p-Laplacian parabolic Kirchhoff equation

被引：4
|
作者：
Chen, Wenjing [1 ]
Zhou, Ting [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
关键词：
Quasilinear parabolic equation; Kirchhoff problem; Existence of solutions; Leray-Schauder principle; BEHAVIOR;
D O I：
10.1016/j.aml.2021.107527
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by the Leray-Schauder principle, we study the existence of solutions for the following p-Laplacian Kirchhoff equation ut - (1 + parallel to del u parallel to(p)(Lp)((ohm))) Delta(p)u + g(u) = 0 on a bounded domain ohm subset of R-N with initial-boundary conditions. (C) 2021 Elsevier Ltd. All rights reserved.
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