Lazer-McKenna conjecture: the critical case

Author(s)
Wei, Juncheng
Yan, Shusen
Publication Date
2007
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.
Citation
Journal of Functional Analysis, 244(2), p. 639-667
ISSN
1096-0783
0022-1236
Link
https://hdl.handle.net/1959.11/5646
Language
en
Publisher
Elsevier Inc
Title
Lazer-McKenna conjecture: the critical case
Type of document
Journal Article
Entity Type
Publication

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