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Boundary regularity for viscosity solutions to degenerate elliptic PDEs
Authors:G Gripenberg
Institution:Department of Mathematics and Systems Analysis, Helsinki University of Technology, PO Box 1100, FIN-02015 TKK, Finland
Abstract:Sufficient conditions are given for the solutions to the (fully nonlinear, degenerate) elliptic equation F(x,u,Du,D2u)=0 in Ω to satisfy |u(x)−u(y)|?Cα|xy| for some α∈(0,1) when xΩ and y∈∂Ω.
Keywords:Viscosity solutions  Boundary regularity  Degenerate elliptic
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