A nonradial bifurcation result with applications to supercritical problems

被引：1

作者：

Amadori, Anna Lisa ^{[1
]}

Gladiali, Francesca ^{[2
]}

机构：

[1] Univ Napoli Parthenope, Dipartimento Sci Applicate, Ctr Direz Napoli, Isola C4, I-80143 Naples, Italy

[2] Univ Sassari, Matemat & Fis, Polcoming, Via Piandanna 4, I-07100 Sassari, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 440卷 / 01期

关键词：

Semilinear elliptic equations; Bifurcation; Nonradial solutions; SEMILINEAR ELLIPTIC-EQUATIONS; SYMMETRY-BREAKING; HENON EQUATION; POSITIVE SOLUTIONS; UNBOUNDED-DOMAINS; RADIAL SOLUTIONS; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.jmaa.2016.03.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the problem {-Delta u = vertical bar x vertical bar F-alpha(u) in R-N u > 0 in R-N where alpha > 0 and N >= 3. Under some assumptions on F we deduce the existence of nonradial solutions which bifurcate from the radial one when alpha is an even integer. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：106 / 126

页数：21

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