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.
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