Weak geodesics on prox-regular subsets of Riemannian manifolds

Ferrera Cuesta, JuanPouryayevali, Mohamad R.Radmanesh, Hajar2023-06-222023-06-222022https://hdl.handle.net/20.500.14352/71711We 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.engAtribución-NoComercial-CompartirIgual 3.0 Españahttps://creativecommons.org/licenses/by-nc-sa/3.0/es/Weak geodesics on prox-regular subsets of Riemannian manifoldsjournal articleopen access514.764.2515.165Prox-regular setsϕ-convex setsSobolev spacesMetric projectionNonsmooth analysisRiemannian manifoldsAnálisis matemático1202 Análisis y Análisis Funcional