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|Title:||Multiplicity theorems for superlinear elliptic problems|
|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.|
|Appears in Collections:||MAT - Artigos|
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|P38_Calc Var PDE_33(2008)_199-230.pdf||305.13 kB||Adobe PDF||View/Open Request a copy|
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