Boundary regularity for viscosity solutions to degenerate elliptic PDEs |
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| Authors: | G. Gripenberg |
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| Affiliation: | Department of Mathematics and Systems Analysis, Helsinki University of Technology, PO Box 1100, FIN-02015 TKK, Finland |
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| 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|x−y| for some α∈(0,1) when x∈Ω and y∈∂Ω. |
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| Keywords: | Viscosity solutions Boundary regularity Degenerate elliptic |
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