Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/5510
Title: | Multiplicity theorems for superlinear elliptic problems |
Author: | Papageorgiou, Nikolaos Rocha, Eugenio Staicu, Vasile |
Issue Date: | 2008 |
Publisher: | Springer |
Abstract: | In this paper we study second order elliptic equations driven by the Laplacian and p-Laplacian differential operators and a nonlinearity which is (p-)superlinear (it satisfies the Ambrosetti–Rabinowitz condition). For the p-Laplacian equations we prove the existence of five nontrivial smooth solutions, namely two positive, two negative and a nodal solution. Finally we indicate how in the semilinear case, Morse theory can be used to produce six nontrivial solutions. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/5510 |
ISSN: | 0944-2669 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P38_Calc Var PDE_33(2008)_199-230.pdf | 305.13 kB | Adobe PDF |
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