The existence of bounded Palais–Smale sequences (briefly BPS) for functionals dependingon a parameter belonging to a real interval and which are the sum of a locally Lipschitzcontinuous term and of a convex, proper, lower semicontinuous function, is obtained whenthe parameter runs in a full measure subset of the given interval. Specifically, for this class ofnon-smooth functions, we obtain BPS related to mountain pass and to global infima levels.This is done by developing a unifying approach, which applies to both cases and relies on a suitable deformation lemma.

Bounded Palais-Smale sequence for non differentiable functions

CANDITO, Pasquale
;
2011-01-01

Abstract

The existence of bounded Palais–Smale sequences (briefly BPS) for functionals dependingon a parameter belonging to a real interval and which are the sum of a locally Lipschitzcontinuous term and of a convex, proper, lower semicontinuous function, is obtained whenthe parameter runs in a full measure subset of the given interval. Specifically, for this class ofnon-smooth functions, we obtain BPS related to mountain pass and to global infima levels.This is done by developing a unifying approach, which applies to both cases and relies on a suitable deformation lemma.
2011
bounded Palais-Smale sequences; critical point theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/7564
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