C1,1 Regularity in Semilinear Elliptic Problems

Communications on Pure and Applied Mathematics

Volumn 56, Issue 2, 2003, Pages 0278-0281

  Shahgholian, Henrik ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442577173     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.10059     Document Type: Article

References (9)

1. Caffarelli, L A.; Jerison, D.; Kenig, C. E. Some new monotonicity theorems with applications to free boundary problems. Ann of Math. (2) 155 (2002), no. 2, 369-404.
2. 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.
3. Caffarelli, L. A.; Kenig, C. E. Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Amer. J. Math. 120 (1998), no. 2, 391-439.
4. Caffarelli, L. A.; Petrosyan, A.; Shahgholian, H. In preparation.
5. Caffarelli, L.; Salazar, J. Solutions of fully nonlinear elliptic equations with patches of zero gradient: existence, regularity and convexity of level curves. Trans. Amer. Math. Soc. 354 (2002), no. 8, 3095-3115.
6. Caffarelli, L.; Salazar, J.; Shahgholian, H. Free boundary regularity for a problem arising in superconductivity. In preparation.
7. Shahgholian, H.; Uraltseva, N.; Weiss, G. In preparation.
8. Uraltseva, N. N. The two-phase obstacle problem. J. Math. Sci. (New York) 106 (2001), no. 9, 3073-3077; translated from Probl. Mat. Anal. 22 (2001), 240-245.
9. Uraltseva, N. N. The two-phase obstacle problem. J. Math. Sci. (New York) 106 (2001), no. 9, 3073-3077; translated from Probl. Mat. Anal. 22 (2001), 240-245.