Some Liouville theorems for Hénon type elliptic equations

Chao Wang; Dong Ye

doi:10.1016/j.jfa.2011.11.017

Some Liouville theorems for Hénon type elliptic equations

Chao Wang
, Dong Ye^*

^*此作品的通讯作者

CY Cergy Paris Université
Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

94 引用（Scopus）

摘要

We investigate here the nonlinear elliptic equations -δu=|x| ^αe ^u and -δu=|x| ^α|u| ^p-1u with α>-2, p>1 and N≥2. In particular, we prove some Liouville type theorems for weak solutions with finite Morse index in the low dimensional Euclidean spaces or half spaces.

源语言	英语
页（从-至）	1705-1727
页数	23
期刊	Journal of Functional Analysis
卷	262
期	4
DOI	https://doi.org/10.1016/j.jfa.2011.11.017
出版状态	已出版 - 15 2月 2012
已对外发布	是

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10.1016/j.jfa.2011.11.017

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@article{49d5eddc2162416ab66fa2590872875d,

title = "Some Liouville theorems for H{\'e}non type elliptic equations",

abstract = "We investigate here the nonlinear elliptic equations -δu=|x| αe u and -δu=|x| α|u| p-1u with α>-2, p>1 and N≥2. In particular, we prove some Liouville type theorems for weak solutions with finite Morse index in the low dimensional Euclidean spaces or half spaces.",

keywords = "Finite Morse index solution, H{\'e}non equation, Liouville theorem, Stability",

author = "Chao Wang and Dong Ye",

year = "2012",

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language = "英语",

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T1 - Some Liouville theorems for Hénon type elliptic equations

AU - Wang, Chao

AU - Ye, Dong

PY - 2012/2/15

Y1 - 2012/2/15

N2 - We investigate here the nonlinear elliptic equations -δu=|x| αe u and -δu=|x| α|u| p-1u with α>-2, p>1 and N≥2. In particular, we prove some Liouville type theorems for weak solutions with finite Morse index in the low dimensional Euclidean spaces or half spaces.

AB - We investigate here the nonlinear elliptic equations -δu=|x| αe u and -δu=|x| α|u| p-1u with α>-2, p>1 and N≥2. In particular, we prove some Liouville type theorems for weak solutions with finite Morse index in the low dimensional Euclidean spaces or half spaces.

KW - Finite Morse index solution

KW - Hénon equation

KW - Liouville theorem

KW - Stability

UR - https://www.scopus.com/pages/publications/84855220671

U2 - 10.1016/j.jfa.2011.11.017

DO - 10.1016/j.jfa.2011.11.017

M3 - 文章

AN - SCOPUS:84855220671

SN - 0022-1236

VL - 262

SP - 1705

EP - 1727

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Some Liouville theorems for Hénon type elliptic equations

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