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^*

^*Corresponding author for this work

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

92 Scopus citations

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.

Original language	English
Pages (from-to)	1705-1727
Number of pages	23
Journal	Journal of Functional Analysis
Volume	262
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2011.11.017
State	Published - 15 Feb 2012
Externally published	Yes

Keywords

Finite Morse index solution
Hénon equation
Liouville theorem
Stability

Access to Document

10.1016/j.jfa.2011.11.017

Cite this

@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",

month = feb,

day = "15",

doi = "10.1016/j.jfa.2011.11.017",

language = "英语",

volume = "262",

pages = "1705--1727",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "4",

}

TY - JOUR

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this