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.

引用

页码：950 / 963

页数：14

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