Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

被引：3
|
作者：
Pistoia, Angela [1 ]
Vaira, Giusi [1 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via Scarpa 16, I-00161 Rome, Italy
来源：
ANALYSIS IN THEORY AND APPLICATIONS | 2022年 / 38卷 / 01期
关键词：
Sign-changing solutions; blow-up phenomenon; Ljapunov-Schmidt reduction; Transversality theorem; BLOWING-UP SOLUTIONS; ELLIPTIC-EQUATIONS; MULTISPIKE SOLUTIONS;
D O I：
10.4208/ata.OA-2020-0044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the classical Brezis-Nirenberg problem -Delta u = u vertical bar u vertical bar + lambda u in Omega, u = 0 on partial derivative Omega, when Omega is a bounded domain in R-6 has a sign-changing solution which blows-up at a point in Omega as lambda approaches a suitable value lambda(0) > 0.
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页码：1 / 25
页数：25
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