Regularity of free boundaries of two-phase problems for fully nonlinear elliptic equations of second order. II. Flat free boundaries are Lipschitz

Communications in Partial Differential Equations

Volumn 27, Issue 7-8, 2002, Pages 1497-1514

  Wang, Pei Yong ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Free boundary; Fully nonlinear elliptic equations; Lipschitz; Viscosity solutions

Indexed keywords

EID: 0036381920     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120005846     Document Type: Article

References (5)

1. 1,α. Revista Matematica Iberoamerican 1987, 3(2), 139-162.
2. [C2] Caffarelli, L.A. A Harnack Inequality Approach to the Regularity of Free Boundaries. Part 2: Flat free boundaries are Lipschitz. Comm. Pure Appl. Math 1989, 42(1), 55-78.
3. [C3] Caffarelli, L.A. A Harnack Inequality Approach to the Regularity of Free Boundaries. Part 3: Existence Theory, Compactness, and Dependence on X. Ann. Scuola Norm. Sup. Piza Cl. Sci. 1988, 15(4), 583-602.
4. [CC] Cabré, X.; Caffarelli, L.A. Fully Nonlinear Elliptic Equations. Amer. Math. Soc.: Providence Rhode Island, 1995.
5. 1,α. Comm. Pure. Appl. Math. 2000, 53(7) 799-810.