Infinitely Many Solutions for a Fourth-Order Semilinear Elliptic Equations Perturbed from Symmetry

被引：3
|
作者：
Duong Trong Luyen [1 ,2 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 03期
关键词：
Biharmonic; Boundary value problems; Critical points; Perturbation methods; Multiple solutions; NONTRIVIAL SOLUTIONS;
D O I：
10.1007/s40840-020-01031-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of multiple solutions for the following biharmonic problem Delta(2)u = f (x,u) + g(x,u) in Omega, u = Delta u =0 on partial derivative Omega, where Omega R-N, (N > 4) is a smooth bounded domain and f (x, xi) is odd in xi, g(x, xi) is a perturbation term. By using the variant of Rabinowitz's perturbationmethod, under some growth conditions on f and g, we show that there are infinitely many weak solutions to the problem.
引用
收藏
页码：1701 / 1725
页数：25
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