Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840526 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 9 Pages |
Abstract
The existence of bounded Palais–Smale sequences (briefly BPS) for functionals depending on a parameter belonging to a real interval and which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function, is obtained when the parameter runs in a full measure subset of the given interval. Specifically, for this class of non-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.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
P. Candito, R. Livrea, D. Motreanu,