RT Journal Article T1 Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds A1 Azagra Rueda, Daniel A1 Ferrera Cuesta, Juan A1 López-Mesas Colomina, Fernando AB We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton-Jacobi equations defined on Riemannian manifolds. PB Elsevier SN 0022-1236 YR 2005 FD 2005-03-15 LK https://hdl.handle.net/20.500.14352/49822 UL https://hdl.handle.net/20.500.14352/49822 LA eng NO Marie Curie Fellowship of the European Community Training NO BFM Grant . NO Consejería de Educación de la Comunidad de Madrid DS Docta Complutense RD 8 may 2024