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Non-smooth critical point theory on closed convex sets

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  • A critical point theory for non-differentiable functionals defined on a closed convex subset of a Banach space is worked out. Special attention is paid to the notion of critical point and possible compactness conditions of Palais-Smale's type. Two Mountain-Pass like theorems are also established. Concepts and results are compared with those already existing in the literature.
    Mathematics Subject Classification: Primary: 58E05, 49J35; Secondary: 49J52.


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