A critical point theory for nonsmooth functionals (Q1342841)
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scientific article; zbMATH DE number 711492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A critical point theory for nonsmooth functionals |
scientific article; zbMATH DE number 711492 |
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A critical point theory for nonsmooth functionals (English)
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14 January 1996
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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.
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nonsmooth functionals
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critical points
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multiplicity
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elliptic variational inequality
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