Up-to boundary regularity for a singular perturbation problem of p-Laplacian type

Karakhanyan, Aram

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Up-to boundary regularity for a singular perturbation problem of p-Laplacian type

Date

2006

Authors

Karakhanyan, Aram

Publisher

Academic Press

Abstract

In this paper we are interested in establishing up-to boundary uniform estimates for the one phase singular perturbation problem involving a nonlinear singular/degenerate elliptic operator. Our main result states: if Ω ⊂ Rn is a C1, α domain, f ∈ C1