Boundedness of the extremal solution for semilinear elliptic problems

Dong Ye; Feng Zhou

doi:10.1142/S0219199702000701

Boundedness of the extremal solution for semilinear elliptic problems

Dong Ye^*
, Feng Zhou

^*此作品的通讯作者

数学科学学院

CY Cergy Paris Université
Ecole Normale Supérieure Paris Saclay

科研成果: 期刊稿件 › 文章 › 同行评审

28 引用（Scopus）

摘要

We investigate here the boundedness of extremal solutions for some semilinear elliptic equation -Δu = λf(u) posed on a bounded smooth domain of ℝ^N with Dirichlet boundary condition. Some sufficient conditions for f are established to ensure the regularity of extremal solutions when N ≤ 9, which cover all well-known cases.

源语言	英语
页（从-至）	547-558
页数	12
期刊	Communications in Contemporary Mathematics
卷	4
期	3
DOI	https://doi.org/10.1142/S0219199702000701
出版状态	已出版 - 8月 2002

访问文件

10.1142/S0219199702000701

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{9e3a1307058d48a981545a9789607733,

title = "Boundedness of the extremal solution for semilinear elliptic problems",

abstract = "We investigate here the boundedness of extremal solutions for some semilinear elliptic equation -Δu = λf(u) posed on a bounded smooth domain of ℝN with Dirichlet boundary condition. Some sufficient conditions for f are established to ensure the regularity of extremal solutions when N ≤ 9, which cover all well-known cases.",

keywords = "Extremal solution, Regularity, Semilinear elliptic equation",

author = "Dong Ye and Feng Zhou",

year = "2002",

month = aug,

doi = "10.1142/S0219199702000701",

language = "英语",

volume = "4",

pages = "547--558",

journal = "Communications in Contemporary Mathematics",

issn = "0219-1997",

publisher = "World Scientific",

number = "3",

}

TY - JOUR

T1 - Boundedness of the extremal solution for semilinear elliptic problems

AU - Ye, Dong

AU - Zhou, Feng

PY - 2002/8

Y1 - 2002/8

N2 - We investigate here the boundedness of extremal solutions for some semilinear elliptic equation -Δu = λf(u) posed on a bounded smooth domain of ℝN with Dirichlet boundary condition. Some sufficient conditions for f are established to ensure the regularity of extremal solutions when N ≤ 9, which cover all well-known cases.

AB - We investigate here the boundedness of extremal solutions for some semilinear elliptic equation -Δu = λf(u) posed on a bounded smooth domain of ℝN with Dirichlet boundary condition. Some sufficient conditions for f are established to ensure the regularity of extremal solutions when N ≤ 9, which cover all well-known cases.

KW - Extremal solution

KW - Regularity

KW - Semilinear elliptic equation

UR - https://www.scopus.com/pages/publications/0036692518

U2 - 10.1142/S0219199702000701

DO - 10.1142/S0219199702000701

M3 - 文章

AN - SCOPUS:0036692518

SN - 0219-1997

VL - 4

SP - 547

EP - 558

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 3

ER -

Boundedness of the extremal solution for semilinear elliptic problems

摘要

访问文件

其它文件与链接

学术指纹

引用此