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.

引用

页码：1 / 25

页数：25

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