Sign-changing bubble tower solutions for a Paneitz-type problem

被引：0

作者：

Chen, Wenjing ^{[1
]}

Huang, Xiaomeng ^{[1
]}

机构：

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

来源：

NONLINEARITY | 2024年 / 37卷 / 05期

基金：

中国国家自然科学基金;

关键词：

biharmonic equation; critical Sobolev exponent; sign-changing bubble tower solutions; reduction method; SUPERCRITICAL ELLIPTIC PROBLEM; ZETA-FUNCTION DETERMINANTS; BREZIS-NIRENBERG PROBLEM; CRITICAL EXPONENT; NODAL SOLUTIONS; EQUATION; EXISTENCE; PROFILE; METRICS;

D O I：

10.1088/1361-6544/ad36a3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the following biharmonic problem {Delta(2)u = vertical bar u vertical bar(8/N-4) u in Omega\B(xi(0), epsilon) u = Delta u = 0 on partial derivative(Omega\B(xi(0), epsilon)), (0.1) where Omega is an open bounded domain in R-N, N >= 5, and B(xi(0), epsilon) is a ball centered at xi(0) with radius epsilon, epsilon is a small positive parameter. We obtain the existence of solutions for problem (0.1), which is an arbitrary large number of sign-changing solutions whose profile is a superposition of bubbles with alternate sign which concentrate at the centre of the hole.

引用

页数：39

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