Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators

By Luis Caffarelli, Yanyan Li, L. Nirenberg. 2011

86 citations recorded by the source corpus.

The paper concerns singular solutions of nonlinear elliptic equations, which include removable singularities for viscosity solutions, a strengthening of the Hopf Lemma including parabolic equations, Strong maximum principle and Hopf Lemma for viscosity solutions including also parabolic equations.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b8a2c76eda72137e94d7162620eb73104c42d3ce

Citations in the corpus

• A family of degenerate elliptic operators: Maximum principle and its consequences (2016, unknown): “…the works of Harvey and Lawson [20,21] that have given a new geometric interpretation of solutions, while Caffarelli, Li and Nirenber g in [12,13] in their study of degenerate elliptic equations, give some results concerning removable singularities along smooth manifolds for Dirichlet…”