Multiple Solutions for a Non-cooperative Elliptic System of Kirchhoff Type Involving p-Biharmonic Operator and Critical Growth

被引：0

作者：

Nguyen Thanh Chung ^{[1
]}

机构：

[1] Quang Binh Univ, Dept Math, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam

来源：

ACTA APPLICANDAE MATHEMATICAE | 2020年 / 165卷 / 01期

关键词：

Non-cooperative elliptic system; Kirchhoff type problem; p-Biharmonic operator; Critical exponents; Concentration compactness principle; Limit index theory; POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1007/s10440-019-00237-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of non-cooperative elliptic systems of Kirchhoff type involving p-biharmonic operator and critical growth. With the help of the Limit index theory due to Li (Nonlinear Anal. TMA 30(7):4619-4627, 1997) and the concentration compactness principle, we establish the existence of infinitely many solutions for the problem under the suitable conditions on the nonlinearity.

引用

页码：1 / 17

页数：17

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