Regularity of a free boundary for viscosity solutions of nonlinear elliptic equations

Communications on Pure and Applied Mathematics

Volumn 54, Issue 1, 2001, Pages 43-56

  Lee, Ki Ahm ^a   Shahgholian, Henrik ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035526705     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200101)54:1<43::AID-CPA2>3.0.CO;2-T     Document Type: Article

References (6)

1. Caffarelli, L. A. The regularity of free boundaries in higher dimensions. Acta Math. 139 (1977), no. 3-4, 155-184.
2. Caffarelli, L. A.; Cabré, X. Fully nonlinear elliptic equations. American Mathematical Society Colloquium Publications, 43. American Mathematical Society, Providence, R.I., 1995.
3. Caffarelli, L. A.; Karp, L.; Shahgholian, H. Regularity of a free boundary with application to the Pompeiu problem. Ann. of Math. (2) 151 (2000), no. 1, 269-292.
4. Karp, L.; Shahgholian, H. Regularity of a free boundary problem. J. Geom. Anal. 9 (1999), no. 4, 653-669.
5. nd-order elliptic operator. Preprint.
6. Lee, K. The obstacle problem for Monge-Ampére equation. Comm. Partial Differential Equations, to appear.