Lazer-McKenna conjecture: the critical case

Title
Lazer-McKenna conjecture: the critical case
Publication Date
2007
Author(s)
Wei, Juncheng
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Elsevier Inc
Place of publication
United States of America
DOI
10.1016/j.jfa.2006.11.002
UNE publication id
une:5780
Abstract
We consider an elliptic problem of Ambrosetti-Prodi type involving critical Sobolev exponent on a bounded smooth domain six or higher. By constructing solutions with many sharp peaks near the boundary of the domain, but not on the boundary, we prove that the number of solutions for this problem is unbounded as the parameter tends to infinity, thereby proving the Lazer-McKenna conjecture in the critical case.
Link
link
Citation
Journal of Functional Analysis, 244(2), p. 639-667
ISSN
1096-0783
0022-1236
Start page
639
End page
667

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