Artículo

The two membranes problem for fully nonlinear operators

Caffarelli, Luis; Duque, Luis; Vivas, Hernán AgustínIcon
Fecha de publicación: 12/2018
Editorial: American Institute of Mathematical Sciences
Revista: Discrete And Continuous Dynamical Systems
ISSN: 1078-0947
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We study the two membranes problem for two different fully nonlinear operators. We give a viscosity formulation for the problem and prove existence of solutions. Then we prove a general regularity result and the optimal C1,1 regularity when the operators are the Pucci extremal operators. We also give an example that shows that no regularity for the free boundary is to be expected to hold in general.
Palabras clave: FREE BOUNDARY PROBLEMS , FULLY NONLINEAR
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/100972
URL: http://www.aimsciences.org/article/doi/10.3934/dcds.2018152
DOI: http://dx.doi.org/10.3934/dcds.2018152
URL: https://arxiv.org/abs/1708.09420
Colecciones
Articulos(CCT - MAR DEL PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Citación
Caffarelli, Luis; Duque, Luis; Vivas, Hernán Agustín; The two membranes problem for fully nonlinear operators; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 38; 12; 12-2018; 6015-6027
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