We study the regularity of the free boundary in two-phase problems for fully nonlinear elliptic operators. In particular, we prove that ﬂat free boundaries are _C_1,γ.
Cite this article
Roberto Argiolas, Fausto Ferrari, Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefﬁcients. Interfaces Free Bound. 11 (2009), no. 2, pp. 177–199DOI 10.4171/IFB/208