Multiple Solutions to Boundary-Value Problems for Fourth-Order Elliptic Equations

被引：0
|
作者：
Luyen, Duong Trong [1 ,2 ]
Trang, Mai Thi Thu [3 ]
机构：
[1] Hoa Lu Univ, Dept Math, Ninh Binh City, Vietnam
[2] Vietnam Acad Sci & Technol, Int Ctr Res & Postgrad Training Math, Inst Math, Hanoi, Vietnam
[3] Acad Finance, Dept Basic, Hanoi, Vietnam
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2023年 / 75卷 / 06期
关键词：
NONTRIVIAL SOLUTIONS; TIME BEHAVIOR; EXISTENCE;
D O I：
10.1007/s11253-023-02239-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of multiple solutions for a biharmonic problem Delta(2)u = f (x, u) + g(x, u) in Omega, u = partial derivative(nu)u = 0 on partial derivative Omega, where Omega is a bounded domain with smooth boundary in R-N, N > 4, f (x,xi) is odd in xi, and g(x, xi) is a perturbation term. Under certain growth conditions on f and g, we show that there are infinitely many weak solutions to the problem.
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页码：950 / 963
页数：14
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