Positive solutions for a fourth order elliptic problem: Existence, uniqueness and nonexistence

被引：0

作者：

Meiqiang Feng ^{[1
]}

Yichen Lu ^{[1
]}

机构：

[1] Beijing Information Science and Technology University,School of Applied Science

来源：

Proceedings - Mathematical Sciences | / 134卷 / 2期

关键词：

Fourth order elliptic problems; Navier boundary conditions; positive solution; existence; uniqueness and nonexistence; eigenvalue theory; Primary: 35J60; Secondary: 35J40;

D O I：

10.1007/s12044-024-00801-6

中图分类号：

学科分类号：

摘要：

The main objective of this paper is to consider a fourth-order elliptic problem with a parameter. Among others, some criteria for the existence and uniqueness of positive solution are established. In addition, some nonexistence results of positive solutions are also considered.

引用

共 50 条

[11] Existence and uniqueness of positive solutions to a semilinear elliptic problem in RN
St Cîrstea, FC
Radulescu, VD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 229 (02) : 417 - 425
[12] Existence of solutions for a nonlinear elliptic problem of fourth order with weight
Zakaria El Allali
Mohamed Talbi
Najib Tsouli
Mediterranean Journal of Mathematics, 2006, 3 (1) : 87 - 96
[13] Existence of Multiple Solutions for Fourth-Order Elliptic Problem
Gu, Hua
An, Tianqing
ABSTRACT AND APPLIED ANALYSIS, 2014,
[14] Existence of solutions for a nonlinear elliptic problem of fourth order with weight
El Allali, Zakaria
Talbi, Mohamed
Tsouli, Najib
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2006, 3 (01) : 87 - 96
[15] On the Nonexistence and Existence of Solutions for a Fourth-Order Discrete Boundary Value Problem
Huang, Shenghuai
Zhou, Zhan
ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[16] On the Nonexistence and Existence of Solutions for a Fourth-Order Discrete Boundary Value Problem
Shenghuai Huang
Zhan Zhou
Advances in Difference Equations, 2009
[17] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A FOURTH-ORDER NONLINEAR EIGENVALUE PROBLEM
KUZANEK, JF
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A774 - A774
[18] Existence and uniqueness of solutions for a fourth-order boundary value problem
Feng, Hanying
Ji, Dehong
Ge, Weigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3561 - 3566
[19] EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS OF AN ELLIPTIC DIRICHLET PROBLEM IN AN EXTERIOR DOMAIN
SANTANILLA, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (12) : 1391 - 1399
[20] SINGULAR POSITIVE SOLUTIONS FOR A FOURTH ORDER ELLIPTIC PROBLEM IN RN
Sato, Tokushi
Watanabe, Tatsuya
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (01) : 245 - 268

← 1 2 3 4 5 →