Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity

被引：5

作者：

Feng, Meiqiang ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 02期

基金：

北京市自然科学基金;

关键词：

Biharmonic equation; Navier boundary conditions; Positive solution; Fixed point theorem; Existence; Nonexistence and multiplicity; 4TH-ORDER ELLIPTIC-EQUATIONS; SIGN-CHANGING SOLUTIONS; NONTRIVIAL SOLUTIONS; THEOREM;

D O I：

10.1007/s43034-023-00254-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this article is to consider a biharmonic problem with Navier boundary conditions. Among others, some criteria for the existence, multiplicity and nonexistence of positive solutions are established by employed fixed point theorems in a cone. In addition, we not only consider the sublinear case, but also we will study the case of appropriate combinations of superlinearity and sublinearity.

引用

页数：22

共 50 条

[1] Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity
Meiqiang Feng
Annals of Functional Analysis, 2023, 14
[2] Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems
Alves, Ricardo Lima
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (13) : 1 - 29
[3] Existence, nonexistence and multiplicity of positive solutions for nonlinear, nonhomogeneous Neumann problems
Nikolaos S. Papageorgiou
Francesca Papalini
manuscripta mathematica, 2017, 154 : 257 - 274
[4] Existence, nonexistence and multiplicity of positive solutions for nonlinear, nonhomogeneous Neumann problems
Papageorgiou, Nikolaos S.
Papalini, Francesca
MANUSCRIPTA MATHEMATICA, 2017, 154 (1-2) : 257 - 274
[5] Existence, Nonexistence and Multiplicity of Positive Solutions for Generalized Laplacian Problems with a Parameter
Jeong, Jeongmi
Kim, Chan-Gyun
MATHEMATICS, 2024, 12 (23)
[6] Existence, Nonexistence, and Multiplicity of Positive Solutions for Nonlocal Boundary Value Problems
Jeong, Jeongmi
Kim, Chan-Gyun
MATHEMATICS, 2025, 13 (05)
[7] Positive Solutions for Biharmonic Equations: Existence, Uniqueness and Multiplicity
Meiqiang Feng
Mediterranean Journal of Mathematics, 2023, 20
[8] Positive Solutions for Biharmonic Equations: Existence, Uniqueness and Multiplicity
Feng, Meiqiang
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (06)
[9] Existence and multiplicity of positive solutions for a class of nonlinear elliptic problems
Aghajani, Asadollah
Shamshiri, Jamile
Yaghoobi, Farajollah Mohammadi
TURKISH JOURNAL OF MATHEMATICS, 2013, 37 (02) : 286 - 298
[10] The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems
Yan, Baoqiang
Ma, Tianfu
BOUNDARY VALUE PROBLEMS, 2016,

← 1 2 3 4 5 →