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

被引：16

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 50 条

[1] On the positive, "radial" solutions of a semilinear elliptic equation in HN (vol 1, pg 1, 2012)
Bandle, Catherine
Kabeya, Yoshitsugu
[J]. ADVANCES IN NONLINEAR ANALYSIS, 2013, 2 (02) : 147 - 150
[2] SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION
Fen, Yang
[J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (06) : 2377 - 2387
[3] Extinction and blowup of positive radial solutions for a semilinear elliptic equation
Yanagida, E
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (03) : 365 - 377
[4] SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION
杨芬
[J]. Acta Mathematica Scientia, 2012, 32 (06) : 2377 - 2387
[5] UNIQUENESS OF POSITIVE RADIAL SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION IN AN ANNULUS
Yao, Ruofei
Li, Yi
Chen, Hongbin
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (03) : 1585 - 1594
[6] SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION
Yang Fen
Zhang Dandan
[J]. ACTA MATHEMATICA SCIENTIA, 2011, 31 (01) : 181 - 193
[7] Separation structure of positive radial solutions of a semilinear elliptic equation in Rn
Bae, S
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (02) : 460 - 499
[8] SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION
杨芬
张丹丹
[J]. Acta Mathematica Scientia, 2011, 31 (01) : 181 - 193
[9] On a semilinear elliptic equation in Hn
Mancini, Gianni
Sandeep, Kunnath
[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2008, 7 (04) : 635 - 671
[10] The positive radial solution of the semilinear elliptic equation in Rn
Tan, JY
[J]. PROCEEDINGS OF THE CONFERENCE ON NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, : 157 - 163

← 1 2 3 4 5 →