Radial and non radial solutions for Hardy-Henon type elliptic systems

被引：39

作者：

Calanchi, Marta ^{[1
]}

Ruf, Bernhard ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 38卷 / 1-2期

关键词：

GROUND-STATES; ASYMPTOTIC-BEHAVIOR; INTERPOLATION INEQUALITIES; EQUATION; WEIGHTS; SOBOLEV; PROFILE; SPACE;

D O I：

10.1007/s00526-009-0280-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss existence and non-existence of positive solutions for the following system of Hardy and Henon type: {-Delta v = vertical bar x vertical bar(alpha)u(p), -Delta u = vertical bar x vertical bar(beta)v(q) in Omega, u = v = 0 on partial derivative Omega, where Omega (sic) 0 is a bounded domain in R-N, N >= 3, p, q > 1, and alpha, beta > -N. We also study symmetry breaking for ground states when Omega is the unit ball in R-N.

引用

页码：111 / 133

页数：23

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