Stability for entire radial solutions to the biharmonic equation with negative exponents

Xia Huang; Dong Ye; Feng Zhou

doi:10.1016/j.crma.2018.05.001

Stability for entire radial solutions to the biharmonic equation with negative exponents

School of Mathematical Sciences

Université de Lorraine

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

3 Scopus citations

Abstract

In this note, we are interested in entire solutions to the semilinear biharmonic equation Δ²u=−u^−p,u>0inR^N, where p>0 and N≥3. In particular, the stability outside a compact set of the entire radial solutions will be completely studied, which resolves the remaining case in [5].

Original language	English
Pages (from-to)	632-636
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	356
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2018.05.001
State	Published - Jun 2018

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title = "Stability for entire radial solutions to the biharmonic equation with negative exponents",

abstract = "In this note, we are interested in entire solutions to the semilinear biharmonic equation Δ2u=−u−p,u>0inRN, where p>0 and N≥3. In particular, the stability outside a compact set of the entire radial solutions will be completely studied, which resolves the remaining case in [5].",

author = "Xia Huang and Dong Ye and Feng Zhou",

note = "Publisher Copyright: {\textcopyright} 2018 Acad{\'e}mie des sciences",

year = "2018",

month = jun,

doi = "10.1016/j.crma.2018.05.001",

language = "英语",

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AU - Huang, Xia

AU - Ye, Dong

AU - Zhou, Feng

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Y1 - 2018/6

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AB - In this note, we are interested in entire solutions to the semilinear biharmonic equation Δ2u=−u−p,u>0inRN, where p>0 and N≥3. In particular, the stability outside a compact set of the entire radial solutions will be completely studied, which resolves the remaining case in [5].

UR - https://www.scopus.com/pages/publications/85047072534

U2 - 10.1016/j.crma.2018.05.001

DO - 10.1016/j.crma.2018.05.001

M3 - 文章

AN - SCOPUS:85047072534

SN - 1631-073X

VL - 356

SP - 632

EP - 636

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 6

ER -

Stability for entire radial solutions to the biharmonic equation with negative exponents

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