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

• Daniela De Silva ^[1] ; Ovidiu Savin ^[1]
  1. [1] Columbia University

     Columbia University

     Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 3, 2016, págs. 891-912
• Idioma: inglés
• DOI: 10.4171/RMI/902
• Texto completo no disponible (Saber más ...)
• Resumen

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