Sign-changing tower of bubbles for the Brezis-Nirenberg problem

被引：18
作者：
Iacopetti, Alessandro [1 ]
Vaira, Giusi [2 ]
机构：
[1] Univ Rome Tre, Dipartimento Matemat & Fis, Lgo S Leonardo Murialdo 1, I-00146 Rome, Italy
[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Piazzale A Moro 1, I-00161 Rome, Italy
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2016年 / 18卷 / 01期
关键词：
Semilinear elliptic equations; blowing-up solution; tower of bubbles; NONLINEAR ELLIPTIC PROBLEMS; NODAL SOLUTIONS; CRITICAL GROWTH; BLOW-UP; EQUATIONS; EXISTENCE; SYMMETRY; DOMAIN; NUMBER;
D O I：
10.1142/S0219199715500364
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that the Brezis-Nirenberg problem: -Delta u = vertical bar u vertical bar(p-1)u + epsilon u in Omega, u = 0 on partial derivative Omega, where Omega is a symmetric bounded smooth domain in R-N, N >= 7 and p = N+2/N-2, has a solution with the shape of a tower of two bubbles with alternate signs, centered at the center of symmetry of the domain, for all epsilon > 0 sufficiently small.
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页数：53
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