Sign-changing bubble tower solutions for a critical fractional problem

被引：3
|
作者：
Chen, Wenjing [1 ]
Long, Wei [2 ]
Yang, Jianfu [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 223卷
关键词：
Critical fractional elliptic problem; Sign-changing bubble tower solutions; Lyapunov Schmidt procedure; CRITICAL SOBOLEV EXPONENT; ELLIPTIC PROBLEM; EQUATION; TOPOLOGY;
D O I：
10.1016/j.na.2022.113054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following fractional elliptic problem {(-delta)(s)u = |u|(2)(s)(*) (-2)u, in omega(epsilon), (0.1) u = 0, in R-N\omega(epsilon), where 2(s)(*) = 2N/N-2s is the critical exponent, 0 < s < 1, omega(epsilon) = omega\B(0, epsilon) with omega being a bounded smooth domain in R-N containing the origin, N > 2s and B(0, epsilon) is the ball centered at the origin with radius epsilon > 0. We construct a sign-changing solution of (0.1) with the shape of a tower of bubbles as epsilon goes to zero. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：17
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