June 30, 2009Open Access

Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefﬁcients

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Resumen

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 C₁, γ.

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Argiolas et al. (Tue,) studied this question.

synapsesocial.com/papers/69d9d9b000ab073a27837739 https://doi.org/https://doi.org/10.4171/ifb/208

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1Regularity of the free boundary in two-phase problems for linear elliptic operators2007 · 51 citations
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3Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations2001 · 40 citations
4Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,?2004 · 35 citations
5Subsolutions of Elliptic Operators in Divergence Form and Application to Two-Phase Free Boundary Problems2006 · 27 citations

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