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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
ISSN: 0944-2669
Appears in Collections:DMat - Artigos

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