Nonradial solutions for the Henon equation in RN

被引：68

作者：

Gladiali, Francesca ^{[1
]}

Grossi, Massimo ^{[2
]}

Neves, Sergio L. N. ^{[3
]}

机构：

[1] Univ Sassari, Dipartimento Polcoming Matemat & Fis, I-07100 Sassari, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[3] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP, Brazil

来源：

ADVANCES IN MATHEMATICS | 2013年 / 249卷

基金：

巴西圣保罗研究基金会;

关键词：

Bifurcation; Henon problem; SEMILINEAR ELLIPTIC-EQUATIONS; SYMMETRY; BIFURCATION; SOBOLEV; UNIQUENESS;

D O I：

10.1016/j.aim.2013.07.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the problem {-Delta u = (N + alpha)(N - 2)vertical bar x vertical bar(alpha)u(N+2+2 alpha/N-2) in R-N, u > 0 in R-N, where alpha > 0 and N >= 3. From the characterization of the solutions of the linearized operator, we deduce the existence of nonradial solutions which bifurcate from the radial one when alpha is an even integer. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1 / 36

页数：36

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