Existence and decay results for a von Karman equation with variable exponent nonlinearities

被引：5

作者：

Ha, Tae Gab ^{[1
,2
]}

Park, Sun-Hye ^{[3
]}

机构：

[1] Jeonbuk Natl Univ, Dept Math, Jeonju, South Korea

[2] Jeonbuk Natl Univ, Inst Pure & Appl Math, Jeonju, South Korea

[3] Pusan Natl Univ, Off Educ Accreditat, Busan 46241, South Korea

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

existence of solution; stability; variable exponent; von Karman equation;

D O I：

10.1002/mma.7372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a von Karman equation with variable exponent nonlinearities w(tt)(x, t) + Delta(2)w(x, t) + vertical bar w(t)(x, t)vertical bar gamma((x)-2)w(t)(x, t) = [w(x, t), F(w(x, t))] + vertical bar w(x, t)vertical bar(p(x)-2)w(x, t) in a bounded domain Omega subset of R-2. We firstly discuss an existence result of solutions by utilizing Faedo-Galerkin approximation technique. Then, we undertake an investigation of asymptotic stability to the solutions by making use of the multiplier method.

引用

页码：9475 / 9486

页数：12

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