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Mountain Pass solutions for quasi-linear equations via a monotonicity trick |
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| Authors: | Benedetta Pellacci |
| Affiliation: | a Dipartimento di Scienze Applicate, Università di Napoli Parthenope, Isola C4, I-80143 Napoli, Italy b Dipartimento di Informatica, Università degli Studi di Verona, Cá Vignal 2, Strada Le Grazie 15, I-37134 Verona, Italy |
| Abstract: | We obtain the existence of symmetric Mountain Pass solutions for quasi-linear equations without the typical assumptions which guarantee the boundedness of an arbitrary Palais-Smale sequence. This is done through a recent version of the monotonicity trick proved in Squassina (in press) [22]. The main results are new also for the p-Laplacian operator. |
| Keywords: | Non-smooth critical point theory Monotonicity trick Palais-Smale condition |
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