Existence of stable solutions to (-δ)mu=eu in RN with m≥3 and N>2m

Xia Huang; Dong Ye

doi:10.1016/j.jde.2016.01.001

Existence of stable solutions to (-δ)^mu=e^u in RN with m≥3 and N>2m

Xia Huang^*
, Dong Ye

^*Corresponding author for this work

School of Mathematical Sciences

Université de Lorraine

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

2 Scopus citations

Abstract

We consider the polyharmonic equation (-δ)^mu=e^u in RN with m≥3 and N>2m. We prove the existence of many entire stable solutions. This answers some questions raised by Farina and Ferrero in [7].

Original language	English
Pages (from-to)	6493-6503
Number of pages	11
Journal	Journal of Differential Equations
Volume	260
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2016.01.001
State	Published - 15 Apr 2016

Keywords

Entire stable solution
Polyharmonic equation

Access to Document

10.1016/j.jde.2016.01.001

Cite this

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title = "Existence of stable solutions to (-δ)mu=eu in RN with m≥3 and N>2m",

abstract = "We consider the polyharmonic equation (-δ)mu=eu in RN with m≥3 and N>2m. We prove the existence of many entire stable solutions. This answers some questions raised by Farina and Ferrero in [7].",

keywords = "Entire stable solution, Polyharmonic equation",

author = "Xia Huang and Dong Ye",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc..",

year = "2016",

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doi = "10.1016/j.jde.2016.01.001",

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AU - Huang, Xia

AU - Ye, Dong

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N2 - We consider the polyharmonic equation (-δ)mu=eu in RN with m≥3 and N>2m. We prove the existence of many entire stable solutions. This answers some questions raised by Farina and Ferrero in [7].

AB - We consider the polyharmonic equation (-δ)mu=eu in RN with m≥3 and N>2m. We prove the existence of many entire stable solutions. This answers some questions raised by Farina and Ferrero in [7].

KW - Entire stable solution

KW - Polyharmonic equation

UR - https://www.scopus.com/pages/publications/84958673610

U2 - 10.1016/j.jde.2016.01.001

DO - 10.1016/j.jde.2016.01.001

M3 - 文章

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SN - 0022-0396

VL - 260

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EP - 6503

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 8