Multiple Solutions for Nonlocal Elliptic Systems Involving p(x)-Biharmonic Operator

被引：13
作者：
Miao, Qing [1 ]
机构：
[1] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 08期
基金：
中国国家自然科学基金;
关键词：
nonlocal elliptic system; p(x)-biharmonic operator; variable exponent space; variational theorem; KIRCHHOFF-TYPE; EXISTENCE; EQUATION;
D O I：
10.3390/math7080756
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper analyzes the nonlocal elliptic system involving the p(x)-biharmonic operator. We give the corresponding variational structure of the problem, and then by means of Ricceri's Variational theorem and the definition of general Lebesgue-Sobolev space, we obtain sufficient conditions for the infinite solutions to this problem.
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页数：10
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