PARTIALLY SYMMETRIC SOLUTIONS OF THE GENERALIZED HENON EQUATION IN SYMMETRIC DOMAINS

被引：0

作者：

Kajikiya, Ryuji ^{[1
]}

机构：

[1] Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2015年 / 46卷 / 01期

基金：

日本学术振兴会;

关键词：

Henon equation; group invariant solution; least energy solution; positive solution; variational method; SEMILINEAR ELLIPTIC-EQUATIONS; EMDEN-FOWLER EQUATION; POSITIVE NONRADIAL SOLUTIONS; LEAST-ENERGY SOLUTIONS; GROUND-STATES; ASYMPTOTIC-BEHAVIOR; MULTIPLE SOLUTIONS; RADIAL SOLUTIONS; ANNULAR DOMAINS; EXISTENCE;

D O I：

10.12775/TMNA.2015.043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the generalized Henon equation in a symmetric domain Omega. Let H and G be closed subgroups of the orthogonal group such that H not subset of G and Omega is G invariant. Then we show the existence of a positive solution which is H invariant but G non-invariant under suitable assumptions of H, G and the coefficient function of the equation.

引用

页码：191 / 221

页数：31

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