The structure of the free boundary for lower dimensional obstacle proble

• Autores: I. Athanasopoulos, Luis A. Caffarelli , S. Salsa
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 2, 2008, págs. 485-498
• Idioma: inglés
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• Resumen

  • We study the regularity of the "free surface" in boundary obstacle problems. We show that near a non-degenerate point the free boundary is a C^1,a (n - 2)-dimensional surface in R^n-1.