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EnglishIf G is a compact Lie group acting linearly on a Banach space X and f is a G-invariant function on X, we provide some new versions of the so-called Palais’ principle of symmetric criticality for f : X → R, in the framework of non-smooth critical point theory. We apply the results to a class of quasi-linear PDEs associated with invariant functionals which are merely lower semi-continuous and thus could not be treated by previous non-smooth versions of the principle in the literature.
| Autori: | |
| Titolo: | On Palais' principle for nonsmooth functionals |
| Data di pubblicazione: | 2011 |
| Abstract: | If G is a compact Lie group acting linearly on a Banach space X and f is a G-invariant function on X, we provide some new versions of the so-called Palais’ principle of symmetric criticality for f : X → R, in the framework of non-smooth critical point theory. We apply the results to a class of quasi-linear PDEs associated with invariant functionals which are merely lower semi-continuous and thus could not be treated by previous non-smooth versions of the principle in the literature. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | Squassina, M., On Palais' principle for nonsmooth functionals, <<NONLINEAR ANALYSIS>>, 2011; 74 (N/A): 3786-3804 [http://hdl.handle.net/10807/89763] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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