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Weak geodesics on prox-regular subsets of Riemannian manifolds Ferrera Cuesta, Juan Pouryayevali, Mohamad R. Radmanesh, Hajar 514.764.2 515.165 Prox-regular sets ϕ-convex sets Sobolev spaces Metric projection Nonsmooth analysis Riemannian manifolds Análisis matemático 1202 Análisis y Análisis Funcional We give a definition of weak geodesics on prox-regular subsets of Riemannian manifolds as continuous curves with some weak regularities. Then obtaining a suitable Lipschitz constant of the projection map, we characterize weak geodesics on a prox-regular set with assigned end points as viscosity critical points of the energy functional. Iran National Science Foundation (INSF) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) FALSE unpub 2023-06-22T10:48:44Z 2023-06-22T10:48:44Z 2022 journal article https://hdl.handle.net/20.500.14352/71711 XXXX-XXXX eng 4002602 Atribución-NoComercial-CompartirIgual 3.0 España https://creativecommons.org/licenses/by-nc-sa/3.0/es/ open access application/pdf