Viscosity solutions of fully nonlinear free transmission problems are shown to be C^{1,log-Lipschitz at the boundary and W^{2,p} in a boundary neighborhood, under a closeness condition between the phase operators.
Gradient esti mates for the perfect conductivity problem
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Boundary regularity for a fully nonlinear free transmission problem
Viscosity solutions of fully nonlinear free transmission problems are shown to be C^{1,log-Lipschitz at the boundary and W^{2,p} in a boundary neighborhood, under a closeness condition between the phase operators.