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

数学科学学院

Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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].

源语言	英语
页（从-至）	632-636
页数	5
期刊	Comptes Rendus Mathematique
卷	356
期	6
DOI	https://doi.org/10.1016/j.crma.2018.05.001
出版状态	已出版 - 6月 2018

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10.1016/j.crma.2018.05.001

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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

PY - 2018/6

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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