A Harnack inequality approach to the regularity of free boundaries. Part I: Lipschitz free boundaries are C^1,α.

Título inglés	A Harnack inequality approach to the regularity of free boundaries. Part I: Lipschitz free boundaries are C1,α.
Título español	Una aproximación basada en la desigualdad de Harnack a la regularidad de las fronteras libres. Parte I: Las fronteras libres de Lipschitz son C1,α.
Autor/es	Caffarelli, Luis A.
Organización	Inst. Adv. Study, Princeton (New Jersey), Estados Unidos
Revista	0213-2230
Publicación	1987, 3 (2): 139-162, 6 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	This is the first in a series of papers where we intend to show, in several steps, the existence of classical (or as classical as possible) solutions to a general two-phase free-boundary system. We plan to do so by: (a) constructing rather weak generalized solutions of the free-boundary problems, (b) showing that the free boundary of such solutions have nice measure theoretical properties (i.e., finite (n-1)-dimensional Hausdorff measure and the associated differentiability properties), (c) showing that near a flat point free-boundaries are Lipschitz graphs, and (d) showing that Lipschitz free boundaries are really C1,α.
Clasificación UNESCO	120204
Palabras clave español	Problemas de frontera libre ; Función armónica ; Soluciones
Código MathReviews	MR0990856
Código Z-Math	Zbl 0676.35085
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