Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations
Summary: The Dirichlet problem for some nonlinear partial differential equations via Perron's method is studied in the viscosity set up, by considering two families of functions, instead of one, as considered by others before. The notion of barrier at a boundary point is introduced to study the regularity of boundary points. Barriers for some nonlinear operators are also constructed.
scientific article; zbMATH DE number 605106