Title

An elliptic problem with critical growth in domains with shrinking holes

Fields of Research (FoR) 2008:
010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Author(s)
Li, Gongbao
Yan, Shusen 
Yang, Jianfu
Publication Date
2004
Socio-Economic Objective (SEO) 2008
970101 Expanding Knowledge in the Mathematical Sciences
DOI
10.1016/j.jde.2003.06.001
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.
Publication Type
Journal Article
Source of Publication
Journal of Differential Equations, 198(2), p. 275-300
Publisher
Academic Press
Place of Publication
United States of America
ISSN
1090-2732
0022-0396
Peer Reviewed
Yes
HERDC Category Description
C1 Refereed Article in a Scholarly Journal
Peer Reviewed
Yes
Statistics to Oct 2018:
Visitors: 140<br />Views: 140<br />Downloads: 0
Permanent link to this record
https://hdl.handle.net/1959.11/9579