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EnglishThe abstract version of Struwe’s monotonicity trick developed by Jeanjean and Toland for functionals depending on a real parameter is strengthened in the sense that it provides, for almost every value of the parameter, the existence of a bounded almost symmetric Palais–Smale sequence at the mountain-pass level whenever a mild symmetry assumption is set on the energy functional. In addition, the whole theory is extended to the case of continuous functionals on Banach spaces, in the framework of non-smooth critical point theory.
Squassina, M., On the Struwe-Jeanjean-Toland monotonicity trick, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2012; 142 (N/A): 155-169 [http://hdl.handle.net/10807/89750]
| Autori: | |
| Titolo: | On the Struwe-Jeanjean-Toland monotonicity trick |
| Data di pubblicazione: | 2012 |
| Abstract: | The abstract version of Struwe’s monotonicity trick developed by Jeanjean and Toland for functionals depending on a real parameter is strengthened in the sense that it provides, for almost every value of the parameter, the existence of a bounded almost symmetric Palais–Smale sequence at the mountain-pass level whenever a mild symmetry assumption is set on the energy functional. In addition, the whole theory is extended to the case of continuous functionals on Banach spaces, in the framework of non-smooth critical point theory. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | Squassina, M., On the Struwe-Jeanjean-Toland monotonicity trick, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2012; 142 (N/A): 155-169 [http://hdl.handle.net/10807/89750] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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