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Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are C1,γ
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 3, June 2006
- pp. 541-571
- 10.1353/ajm.2006.0023
- Article
- Additional Information
We prove C1,γ regularity of Lipschitz free boundaries of two-phase problems for a class of homogeneous fully nonlinear elliptic operators F(D2u(x), x) with Hölder dependence on x, containing convex (concave) operators.