An elliptic problem with critical growth in domains with shrinking holes

Gongbao Li; Shusen Yan; Jianfu Yang

doi:10.1016/j.jde.2003.06.001

An elliptic problem with critical growth in domains with shrinking holes

Gongbao Li, Shusen Yan, Jianfu Yang

Mathematics

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25 Citations (Scopus)

Abstract

We study an elliptic problem involving critical Sobolev exponent in domains with small holes. We prove the existence of solutions which blow up like a volcano near the centre of each hole.

Original language	English
Pages (from-to)	275-300
Journal	Journal of Differential Equations
Volume	198
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2003.06.001
Publication status	Published - 2004

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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10.1016/j.jde.2003.06.001

https://hdl.handle.net/1959.11/9579

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title = "An elliptic problem with critical growth in domains with shrinking holes",

abstract = "We study an elliptic problem involving critical Sobolev exponent in domains with small holes. We prove the existence of solutions which blow up like a volcano near the centre of each hole.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Gongbao Li and Shusen Yan and Jianfu Yang",

year = "2004",

doi = "10.1016/j.jde.2003.06.001",

language = "English",

volume = "198",

pages = "275--300",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press",

number = "2",

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T1 - An elliptic problem with critical growth in domains with shrinking holes

AU - Li, Gongbao

AU - Yan, Shusen

AU - Yang, Jianfu

PY - 2004

Y1 - 2004

N2 - We study an elliptic problem involving critical Sobolev exponent in domains with small holes. We prove the existence of solutions which blow up like a volcano near the centre of each hole.

AB - We study an elliptic problem involving critical Sobolev exponent in domains with small holes. We prove the existence of solutions which blow up like a volcano near the centre of each hole.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - https://www.scopus.com/pages/publications/1642369154

U2 - 10.1016/j.jde.2003.06.001

DO - 10.1016/j.jde.2003.06.001

M3 - Article

SN - 0022-0396

VL - 198

SP - 275

EP - 300

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

An elliptic problem with critical growth in domains with shrinking holes

Abstract

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