Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus

被引：58

作者：

Gladiali, Francesca ^{[1
]}

Grossi, Massimo ^{[2
]}

Pacella, Filomena ^{[2
]}

Srikanth, P. N. ^{[3
]}

机构：

[1] Univ Sassari, Struttura Dipartimentale Matemat & Fis, I-07100 Sassari, Italy

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

[3] TIFR Ctr Applicable Math, Bangalore 560065, Karnataka, India

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 40卷 / 3-4期

关键词：

POSITIVE RADIAL SOLUTIONS; ASYMPTOTIC-BEHAVIOR; UNIQUENESS; EXISTENCE; DOMAINS;

D O I：

10.1007/s00526-010-0341-3

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(p) + lambda u in A, u > 0 in A, u = 0 on partial derivative A, where A is an annulus of R(N), N >= 2 and p > 1. We prove bifurcation of nonradial solutions from the radial solution in correspondence of a sequence of exponents {p(k)} and for expanding annuli.

引用

页码：295 / 317

页数：23

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