The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton‐Jacobi equations

Hamilton--Jacobi Equations and Distance Functions on Riemannian Manifolds

Carlo Mantegazza, Andrea Mennucci · Applied Mathematics & Optimization · 2002 · 218 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +14

The Lipschitz continuity of the distance function to the cut locus

Jin‐ichi Itoh, Minoru Tanaka · Transactions of the American Mathematical Society · 2000 · 122 citations · Full text

Natural Sciences, Mathematics, Celestial Mechanics +15

The Dirichlet problem for singularly perturbed elliptic equations

Yanyan Li, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1998 · 115 citations

Natural Sciences, Mathematics, Physics +14

Sobolev Embeddings for Generalized Ridged Domains

W. D. Evans, D.J. Harris · Proceedings of the London Mathematical Society · 1987 · 89 citations

Natural Sciences, Geophysics, Topology +3

On the structure of singular sets of convex functions

Giovanni Alberti · Calculus of Variations and Partial Differential Equations · 1994 · 77 citations

Natural Sciences, Mathematics, Computational Geometry +13