Proves C^{2,α} regularity of the free boundary in the Signorini problem with variable coefficients via a C^{1,α} boundary Harnack inequality in slit domains and a Schauder estimate for a non-standard degenerate elliptic equation.
c∞ regularity of certain thin free boundaries
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The $C^{1,\alpha}$ boundary Harnack principle in a slit domain and its application to the Signorini problem
Proves C^{2,α} regularity of the free boundary in the Signorini problem with variable coefficients via a C^{1,α} boundary Harnack inequality in slit domains and a Schauder estimate for a non-standard degenerate elliptic equation.