0000000000801976

AUTHOR

Salvatore Angelo Marano

0000-0001-5214-2586

showing 2 related works from this author

On a min-max principle for non-smooth functions and applications

2009

Extensions of the seminal Ghoussoub's min-max principle [15] to non-smooth functionals given by a locally Lipschitz continuous term plus a convex, proper, lower semi-continuous function are presented and discussed in this survey paper. The problem of weakening the PalaisSmale compactness condition is also treated. Some abstract consequences as well as applications to elliptic hemivariational or variational-hemivariational inequalities are then pointed out. ©Dynamic Publishers, Inc.

min-max resultsAnalysiNon-smooth critical point theory
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Existence and classification of critical points for nondifferentiable functions

2004

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.

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