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

共 50 条

[21] EXISTENCE OF SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
Liu, Yang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[22] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FOURTH-ORDER BOUNDARY-VALUE PROBLEMS IN BANACH SPACES
Cui, Yujun
Zou, Yumei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[23] Multiple Solutions for a Class of Nonlinear Fourth-Order Boundary Value Problems
Lin, Longfei
Liu, Yansheng
Zhao, Daliang
SYMMETRY-BASEL, 2020, 12 (12): : 1 - 13
[24] MULTIPLE POSITIVE SOLUTIONS TO FOURTH-ORDER SINGULAR BOUNDARY VALUE PROBLEMS
Jinjun Fan(School of Mathematical Science
Annals of Applied Mathematics, 2011, (01) : 9 - 12
[25] Boundary decay estimates for solutions of fourth-order elliptic equations
Barbatis, Gerassimos
ARKIV FOR MATEMATIK, 2007, 45 (02): : 197 - 219
[26] Existence of Nontrivial Solutions for Boundary Value Problems of Fourth-Order Differential Equations
Li, Hongyu
AXIOMS, 2024, 13 (11)
[27] Nodal solutions of boundary value problems of fourth-order ordinary differential equations
Ma, Ruyun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) : 424 - 434
[28] INFINITELY MANY SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
Khalkhali, Seyyed Mohsen
Heidarkhani, Shapour
Razani, Abdolrahman
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[29] Extremal solutions of fourth-order boundary value problems
N. I. Vasil’ev
A. Ya. Lepin
L. A. Lepin
Differential Equations, 2012, 48 : 1 - 10
[30] Extremal solutions of fourth-order boundary value problems
Vasil'ev, N. I.
Lepin, A. Ya
Lepin, L. A.
DIFFERENTIAL EQUATIONS, 2012, 48 (01) : 1 - 10

← 1 2 3 4 5 →