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非线性Hénon方程解的Liouville定理 被引量：2

Liouville Type Theorems of Solutions for the Nonlinear Hénon Equations
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摘要 该文研究了二阶和四阶非线性Henon-Lane-Emden方程有限Morse指标解的Liouville定理.利用一种新方法,即使用单调公式、Pohozaev恒等式和doubling引理等相结合证明了其结果. In this paper, Liouville theorem of finite Morse index solutions for the second order and fourth order nonlinear Hénon-Lane-Emden equations is considered. Adopting a new method, i.e., the monotonicity formula, Pohozaev identity combining with doubling lemma, the main results is proved.
作者 胡良根
机构地区 宁波大学数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2016年第4期639-648,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(11201248) 宁波市自然科学基金(2014A610027)资助~~
关键词 有限Morse指标解 单调公式 LIOUVILLE定理 Doubling引理 POHOZAEV恒等式 Finite Morse index solution Monotonicity formula Liouville theorem Doublinglemma Pohozaev identity.
分类号 O175.25 [理学—基础数学]
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参考文献13

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二级参考文献19

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数学物理学报（A辑）
2016年 第4期

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