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Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are C 1,γ

Fausto Ferrari

American Journal of Mathematics · 2006 · 34 citations · 14 references

DOI

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Abstract

We prove C 1,γ regularity of Lipschitz free boundaries of two-phase problems for a class of homogeneous fully nonlinear elliptic operators F (D 2 u ( x ), x ) with Hölder dependence on x , containing convex (concave) operators.

References

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