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.

Squassina, M., On Palais' principle for nonsmooth functionals, <<NONLINEAR ANALYSIS>>, 2011; 74 (N/A): 3786-3804 [http://hdl.handle.net/10807/89763]

On Palais' principle for nonsmooth functionals

Squassina, Marco
Primo
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.
Inglese
Squassina, M., On Palais' principle for nonsmooth functionals, <<NONLINEAR ANALYSIS>>, 2011; 74 (N/A): 3786-3804 [http://hdl.handle.net/10807/89763]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/89763
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact