On a biharmonic elliptic problem with slightly subcritical non-power nonlinearity

被引：1

作者：

Deng, Shengbing ^{[1
]}

Yu, Fang ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Biharmonic elliptic problem; positive solution; non-power nonlinearity; EQUATION; INVARIANT; EXISTENCE;

D O I：

10.1007/s11784-023-01084-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the following biharmonic elliptic problem with slightly subcritical non-power nonlinearity: {Delta(2)u = vertical bar u vertical bar(2)*- 2(u)/[ln(e+vertical bar u vertical bar)](epsilon) in Omega, u = Delta u = 0 on partial derivative Omega, where 2* = 2n/n-4, Omega is a bounded smooth domain in R-n with n >= 5, epsilon is a small positive parameter. By finite-dimensional Lyapunov-Schmidt reduction, we construct a single bubble solution, which concentrates at the non-degenerate critical point of the Robin function.

引用

页数：27

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