Positive solutions of biharmonic elliptic problems with a parameter

被引：1
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：
北京市自然科学基金; 中国国家自然科学基金;
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
收藏
页数：36
相关论文
共 53 条
123456