A Lyusternik-Schnirelman type theorem for locally Lipschitz functionals with applications to multivalued periodic problems (Q1917571)
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scientific article; zbMATH DE number 897678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Lyusternik-Schnirelman type theorem for locally Lipschitz functionals with applications to multivalued periodic problems |
scientific article; zbMATH DE number 897678 |
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A Lyusternik-Schnirelman type theorem for locally Lipschitz functionals with applications to multivalued periodic problems (English)
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3 September 1996
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The author restudies the Lyusternik-Schnirelmann theorem for locally Lipschitzian functionals. An application is given. However, the critical point theory for such functionals has been very well developed by the reviewer [\textit{K. C. Chang}, J. Math. Anal. Appl. 80, 102-129 (1981; Zbl 0487.49027)]. This theory is sufficient to give all results of this paper in combination with some well-known topological facts.
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generalized gradient category
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\(Z\)-periodic function
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Lyusternik-Schnirelmann theorem
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locally Lipschitzian functionals
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critical point theory
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