Liouville theorems for stable at infinity solutions of Lane-Emden system

Foued Mtiri; Dong Ye

doi:10.1088/1361-6544/aaf078

Liouville theorems for stable at infinity solutions of Lane-Emden system

Foued Mtiri^*
, Dong Ye

^*此作品的通讯作者

Université de Tunis El Manar
Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

We consider the Lane-Emden system Δu = νp, Δv = uθ in R ^N , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any p, θ < 0 under the Sobolev hyperbola.

源语言	英语
页（从-至）	910-926
页数	17
期刊	Nonlinearity
卷	32
期	3
DOI	https://doi.org/10.1088/1361-6544/aaf078
出版状态	已出版 - 8 2月 2019
已对外发布	是

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10.1088/1361-6544/aaf078

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@article{9644e516ee894dcfa74be152dc631c1e,

title = "Liouville theorems for stable at infinity solutions of Lane-Emden system",

abstract = " We consider the Lane-Emden system Δu = νp, Δv = uθ in R N , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any p, θ < 0 under the Sobolev hyperbola.",

keywords = "Lane-Emden system, m-biharmonic equation, stability outside a compact set, stable solutions",

author = "Foued Mtiri and Dong Ye",

note = "Publisher Copyright: {\textcopyright} 2019 IOP Publishing Ltd \& London Mathematical Society.",

year = "2019",

month = feb,

day = "8",

doi = "10.1088/1361-6544/aaf078",

language = "英语",

volume = "32",

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journal = "Nonlinearity",

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TY - JOUR

T1 - Liouville theorems for stable at infinity solutions of Lane-Emden system

AU - Mtiri, Foued

AU - Ye, Dong

PY - 2019/2/8

Y1 - 2019/2/8

N2 - We consider the Lane-Emden system Δu = νp, Δv = uθ in R N , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any p, θ < 0 under the Sobolev hyperbola.

AB - We consider the Lane-Emden system Δu = νp, Δv = uθ in R N , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any p, θ < 0 under the Sobolev hyperbola.

KW - Lane-Emden system

KW - m-biharmonic equation

KW - stability outside a compact set

KW - stable solutions

UR - https://www.scopus.com/pages/publications/85062522027

U2 - 10.1088/1361-6544/aaf078

DO - 10.1088/1361-6544/aaf078

M3 - 文章

AN - SCOPUS:85062522027

SN - 0951-7715

VL - 32

SP - 910

EP - 926

JO - Nonlinearity

JF - Nonlinearity

IS - 3

ER -

Liouville theorems for stable at infinity solutions of Lane-Emden system

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