Daniilidis, A. (2022, June 16). Many functions are uniquely determined by their metric slope and their critical values [Presentation]. Advances in Calculus of Variations, Napoli, Italy.
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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Date (published):
16-Jun-2022
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Event name:
Advances in Calculus of Variations
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Event date:
13-Jun-2022 - 17-Jun-2022
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Event place:
Napoli, Italy
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Keywords:
Hilbert Space; Metric Slope; Determination
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Abstract:
Two smooth, convex and bounded from below functions in a Hilbert space
are equal up to a constant if and only if their derivatives have the same norm
everywhere.
We shall give an analogous determination property for the class of continuous,
coercive functions in compact metric spaces using the notion of metric slope.
Based on a recent work with D. Salas (UOH, Chile).
