Positive solutions of biharmonic elliptic problems with a parameter

被引：2

作者：

Chen, Haiping ^{[1
]}

Feng, Meiqiang ^{[1
]}

机构：

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

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2024年 / 14卷 / 01期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Singular biharmonic equation; Navier boundary conditions; Positive solution; Existence; Nonexistence and multiplicity; Fixed point theory; SIGN-CHANGING SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE; EQUATIONS; UNIQUENESS; MULTIPLICITY; THEOREMS;

D O I：

10.1007/s13324-023-00860-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we analyze the existence, multiplicity and nonexistence of positive solutions for a class of biharmonic equations with Navier boundary conditions and a parameter. In addition, some new criteria for the existence, multiplicity and nonexistence of positive radial solutions for a singular biharmonic equation are also investigated. Our approaches use fixed point theorems on cones.

引用

页数：36

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