Boundary Harnack estimates in slit domains and applications to thin free boundary problems
classification
🧮 math.AP
keywords
boundarydomainsfreeharnackslitapplicationscorollaryestimates
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We provide a higher order boundary Harnack inequality for harmonic functions in slit domains. As a corollary we obtain the $C^\infty$ regularity of the free boundary in the Signorini problem near non-degenerate points.
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