Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 43, pp. 1-10.

Title: Generalized viscosity solutions of elliptic PDEs
       and  boundary conditions
       
Author: Gustaf Gripenberg (Helsinki Univ. of Tech., Finland)

Abstract: 
 Sufficient conditions are given for a generalized viscosity
 solution  of an elliptic boundary value problem to satisfy
 the boundary values in the strong sense.
  
Submitted March 14, 2006. Published March 28, 2006.
Math Subject Classifications: 35K55, 35K65.
Key Words: Viscosity solutions; boundary conditions.