6533b85cfe1ef96bd12bcc10

RESEARCH PRODUCT

Existence and classification of critical points for nondifferentiable functions

R. LivreaSalvatore Angelo Marano

subject

locally Lipschitz continus functionlower semicontinuous functionApplied Mathematicsconvexcritical pointAnalysipropercritical point; locally Lipschitz continus function; convex proper lower semicontinuous function49J3558E05Analysis47J30

description

A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max-generated critical points in such a framework are then pointed out.

http://projecteuclid.org/euclid.ade/1355867910