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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	910-926
Number of pages	17
Journal	Nonlinearity
Volume	32
Issue number	3
DOIs	https://doi.org/10.1088/1361-6544/aaf078
State	Published - 8 Feb 2019
Externally published	Yes

Keywords

Lane-Emden system
m-biharmonic equation
stability outside a compact set
stable solutions

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10.1088/1361-6544/aaf078

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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",

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issn = "0951-7715",

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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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Keywords

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