Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations (Q1329645)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations |
scientific article; zbMATH DE number 605106
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations |
scientific article; zbMATH DE number 605106 |
Statements
Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations (English)
0 references
8 September 1994
0 references
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.
0 references
Perron's method
0 references
viscosity set up
0 references
regularity of boundary points
0 references
barriers
0 references
