The Relationship between the Boundary Behavior of and the Comparison Principles Satisfied by Approximate Solutions of Elliptic Dirichlet Problems

Suppose Ω is bounded domain in ℜ n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072140/faeac70b-e389-4ea4-8b5b-5a836c2a1f73/content/eq3348.tif"/> and Q is a quasilinear elliptic second order partial differential operator of the form (1) Q u ( x ) = ∑ i , j = 1 n a i j ( x , D u ( x ) ) D i j u ( x ) + b ( x , u ( x ) , D u ( x ) ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072140/faeac70b-e389-4ea4-8b5b-5a836c2a1f73/content/eq3349.tif"/>