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.
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页码：191 / 221
页数：31
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