A critical point theory for nonsmooth functional
Copyright policy )A critical point theory for nonsmooth functional
In this paper a suitable definition of ``norm of differential'' and the notion of critical points are introduced for continuous functionals on metric spaces. By means of this new definition, the classical results of Lyusternik-Schnirelmann on critical point theory for smooth functionals on manifolds are extended to continuous functionals on complete metric spaces. Applications of these new techniques are presented to obtain a multiplicity result on solutions of an elliptic variational inequality.
Variational methods, critical points, multiplicity, Variational inequalities (global problems) in infinite-dimensional spaces, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, nonsmooth functionals, elliptic variational inequality
Variational methods, critical points, multiplicity, Variational inequalities (global problems) in infinite-dimensional spaces, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, nonsmooth functionals, elliptic variational inequality
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