Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps

DOI10.1007/s00526-024-02662-3arXiv2107.09589OpenAlexW3184086048MaRDI QIDQ6193941

Dmitry A. Vorotnikov, Léonard Monsaingeon, Luca Tamanini, Hugo Lavenant

Publication date: 14 February 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.09589

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Other generalizations (nonlinear potential theory, etc.) (31C45) Optimal transportation (49Q22)

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