E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
Advances in Calculus of Variations
13-Jun-2022 - 17-Jun-2022
Hilbert Space; Metric Slope; Determination
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).