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 Multiplicity theorems for superlinear elliptic problems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5510

title: Multiplicity theorems for superlinear elliptic problems
authors: 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.
URI: http://hdl.handle.net/10773/5510
ISSN: 0944-2669
source: Calculus of Variations and Partial Differential Equations
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