Título inglés | A Harnack inequality approach to the regularity of free boundaries. Part I: Lipschitz free boundaries are C1,α. |
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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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