ON A MIN-MAX PRINCIPLE FOR NON-SMOOTH FUNCTIONS AND APPLICATIONS

TitleON A MIN-MAX PRINCIPLE FOR NON-SMOOTH FUNCTIONS AND APPLICATIONS
Publication TypeJournal Article
Year of Publication2009
AuthorsLIVREA, ROBERTO, MARANO, SALVATOREA
Volume13
Issue3
Start Page411
Pagination20
Date Published2009
ISSN1083-2564
AMS49J35, 49J52, 58E05
Abstract

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.

URLhttp://www.acadsol.eu/en/articles/13/3/11.pdf
Refereed DesignationRefereed
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