The C1,α boundary Harnack principle in a slit domain and its application to the Signorini problem
Abstract
We prove the C2,α regularity of the free boundary in the Signorini problem with variable coefficients. We use a C1,α boundary Harnack inequality in slit domain. The key method is to study a non-standard degenerate elliptic equation and obtain a C1,α Schauder estimate.
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