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Stability results for Mountain Pass and Linking type solutions of semilinear problems involving Dirichlet forms |
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| Authors: | Marco Biroli Silvia Mataloni Michele Matzeu |
| Affiliation: | (1) Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy;(2) Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro 5, 00185 Roma, Italy;(3) Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy |
| Abstract: | Some stability results for Mountain Pass and Linking type solutions of semilinear problems involving a very general class of Dirichlet forms are stated. The non linear terms are supposed to have a suitable superlinear growth and the family of Dirichlet forms is required to be dominated from below and from above by a fixed diffusion type form. Some concrete examples are also given. |
| Keywords: | 35B38 31C25 35B30 35J60 |
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