JournalsrmiVol. 32, No. 3pp. 891–912

Boundary Harnack estimates in slit domains and applications to thin free boundary problems

  • Daniela De Silva

    Columbia University, New York, USA
  • Ovidiu Savin

    Columbia University, New York, United States
Boundary Harnack estimates in slit domains and applications to thin free boundary problems cover
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Abstract

We provide a higher order boundary Harnack inequality for harmonic functions in slit domains. As a corollary we obtain the CC^\infty regularity of the free boundary in the Signorini problem near non-degenerate points.

Cite this article

Daniela De Silva, Ovidiu Savin, Boundary Harnack estimates in slit domains and applications to thin free boundary problems. Rev. Mat. Iberoam. 32 (2016), no. 3, pp. 891–912

DOI 10.4171/RMI/902