Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67616We 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.46 pagesDifferential GeometryAnalysis of PDEs49J52, 58E30Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifoldstext