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|title: ||Multiplicity theorems for superlinear elliptic problems|
|authors: ||Papageorgiou, Nikolaos|
|issue date: ||2008|
|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
|source: ||Calculus of Variations and Partial Differential Equations|
|appears in collections||MAT - Artigos|
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