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

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[9] EXISTENCE AND NONEXISTENCE OF NONTRIVIAL SOLUTIONS OF SOME NONLINEAR FOURTH ORDER ELLIPTIC EQUATIONS
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[10] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A QUASILINEAR ELLIPTIC PROBLEM IN RN
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