On the positive, "radial" solutions of a semilinear elliptic equation in HN

被引：19

作者：

Bandle, Catherine ^{[1
]}

Kabeya, Yoshitsugu ^{[2
]}

机构：

[1] Univ Basel, CH-4051 Basel, Switzerland

[2] Osaka Prefecture Univ, Sakai, Osaka 5998531, Japan

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2012年 / 1卷 / 01期

基金：

日本学术振兴会;

关键词：

Nonlinear elliptic equations; hyperbolic space; regular/singular solutions; DELTA-U+K(VERTICAL-BAR-X-VERTICAL-BAR); U(P)=0;

D O I：

10.1515/ana-2011-0004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss various kinds of existence and non existence results for positive solutions of Emden-Fowler type equations in the hyperbolic space. The main tools are perturbation analysis, variational methods, Pohozeav type identities and reduction to Matukuma equations.

引用

页码：1 / 25

页数：25

共 21 条

[1]

BANDLE C, 1989, J REINE ANGEW MATH, V401, P25

[2] Green's function, harmonic transplantation and best Sobolev constant in spaces of constant curvature [J].