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|Title:||Lazer-McKenna conjecture: the critical case||Contributor(s):||Wei, Juncheng (author); Yan, Shusen (author)||Publication Date:||2007||DOI:||10.1016/j.jfa.2006.11.002||Handle Link:||https://hdl.handle.net/1959.11/5646||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.||Publication Type:||Journal Article||Source of Publication:||Journal of Functional Analysis, 244(2), p. 639-667||Publisher:||Academic Press||Place of Publication:||United States of America||ISSN:||0022-1236
|Field of Research (FOR):||010110 Partial Differential Equations||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Statistics to Oct 2018:||Visitors: 95
|Appears in Collections:||Journal Article|
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