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NontriviaL solutions of some nonlinear elliptic problems |
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| Authors: | Monica Musso Donato Passaseo |
| Affiliation: | Dipartimento di Matematica , Università di Pisa , Via Buonarroti, Pisa, 256127, ITALY |
| Abstract: | This paper is concerned with a class of semilinear elliptic Dirichlet problems approximating degenerate equations. The aim is to prove the existence of at least 4k?1 nontrivial solutions when the degeneration set consists of k distinct connected components |
| Keywords: | Semilinear elliptic equations Degenerate equations Variational methods Nontrivial solutions |