Artículos de revistas
Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations
Registro en:
Journal Of Functional Analysis. Academic Press Inc Elsevier Science, v. 259, n. 2, n. 428, n. 452, 2010.
0022-1236
WOS:000277528000005
10.1016/j.jfa.2010.03.021
Autor
Montenegro, M
Teixeira, EV
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) We establish Lipschitz regularity for solutions to a family of non-isotropic fully nonlinear partial differential equations of elliptic type. In general such a regularity is optimal. No sign constraint is imposed on the solution, thus limiting free boundaries may have two-phases. Our estimates are then employed in combination with fine regularizing techniques to prove existence of viscosity solutions to singular nonlinear PDEs. (C) 2010 Elsevier Inc. All rights reserved. 259 2 428 452 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) NSF [DMS 060093] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) NSF [DMS 060093]