Multi-peak solutions to a biharmonic elliptic problem with non-power nonlinearity

被引：0

作者：

Deng, Shengbing ^{[1
]}

Yu, Fang ^{[1
]}

机构：

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

来源：

ANALYSIS AND APPLICATIONS | 2025年 / 23卷 / 02期

关键词：

Biharmonic elliptic problem; non-power nonlinearity; multi-peak solutions; Lyapunov-Schmidt reduction; SOBOLEV INEQUALITY; EQUATION; EXISTENCE; TOPOLOGY;

D O I：

10.1142/S0219530524500295

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following biharmonic elliptic problem involving slightly subcritical non- power nonlinearity 2u = | u|2*- 2u [ln(e + |u|)] e in O,.u = u = 0 on. O, where O. Rn is a bounded smooth domain, 2* = 2n n- 4, n = 5, e > 0 is a small parameter. By Lyapunov-Schmidt procedure, under suitable assumptions on the Robin function related to O, we construct the multi-peak solutions which blow-up and concentrate in different points of O as e goes to 0.

引用

页码：213 / 261

页数：49

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