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https://hdl.handle.net/1959.11/7760| Title: | On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems | Contributor(s): | Juncheng, Wei (author); Yan, Shusen (author) | Publication Date: | 2010 | Handle Link: | https://hdl.handle.net/1959.11/7760 | Abstract: | We consider an elliptic problem of Ambrosetti-Prodi type involving critical Sobolev exponent on a bounded smooth domain. We show that if the domain has some symmetry, the problem has infinitely many (distinct) solutions whose energy approach to infinity even for a fixed parameter, thereby obtaining a stronger result than the Lazer-McKenna conjecture. | Publication Type: | Journal Article | Source of Publication: | Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, IX [9](2), p. 423-457 | Publisher: | Scuola Normale Superiore di Pisa | Place of Publication: | Italy | ISSN: | 2036-2145 0391-173X |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal | Publisher/associated links: | http://annaliscienze.sns.it/index.php?page=Article&id=66 |
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| Appears in Collections: | Journal Article |
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