Least Energy Solutions and Group Invariant Solutions of the Henon Equation

被引：0

作者：

Kajikiya, Ryuji ^{[1
]}

机构：

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

来源：

ADVANCED NONLINEAR STUDIES | 2013年 / 13卷 / 03期

基金：

日本学术振兴会;

关键词：

Henon equation; group invariant solution; least energy solution; nonradial positive solution; variational method; EMDEN-FOWLER EQUATION; ELLIPTIC-EQUATIONS; ASYMPTOTIC PROFILE; RADIAL SOLUTIONS; STATES; UNIQUENESS; GROWTH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the generalized Henon equation in the unit ball, where the coefficient function may or may not change its sign. We prove that the least energy solution is not radial and moreover we show the existence of a group invariant positive solution without radial symmetry.

引用

页码：721 / 738

页数：18

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