Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations
type: Item
instance of: scholarly article
title: Perron's method and barrier functions for the viscosity solutions of the Dirichlet problem for some nonlinear partial differential equations
zbMATH Open document ID: 0803.35056
DOI: 10.4171/ZAA/515
author: V. Pereyra
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1994-09-08T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J67
zbMATH DE Number: 605106
zbMATH Keywords: Perron's method
zbMATH Keywords: viscosity set up
zbMATH Keywords: regularity of boundary points
zbMATH Keywords: barriers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 605106