We prove C^{1,gamma} regularity of Lipschitz free boundaries of two-phase problems for a class of homogeneous fully nonlinear elliptic operators F(D^2u(x),x), with Hoelder dependence on x, containing convex (concave) operators.
F. Ferrari (2006). Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are $C^{1,gamma}$. AMERICAN JOURNAL OF MATHEMATICS, 128, 3, 541-571 [10.1353/ajm.2006.0023].
Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are $C^{1,gamma}$
FERRARI, FAUSTO
2006
Abstract
We prove C^{1,gamma} regularity of Lipschitz free boundaries of two-phase problems for a class of homogeneous fully nonlinear elliptic operators F(D^2u(x),x), with Hoelder dependence on x, containing convex (concave) operators.File in questo prodotto:
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