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Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,γ

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Abstract.

We prove C 1,γ regularity of Lipschitz free boundaries of two-phase problems for linear elliptic operators with Hölder continuous coefficients.

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Authors and Affiliations

  1. Dipartimento di Matematica del Politecnico, Piazza Leonardo da Vinci, 32, 20133, Milano, Italy

    M. Cristina Cerutti & Sandro Salsa

  2. Dipartimento di Matematica dell’Università, Piazza di Porta S. Donato, 5, C.I.R.A.M. Via Saragozza, 8, , 40126, 40123 , Bologna, Italy

    Fausto Ferrari

Authors
  1. M. Cristina Cerutti
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  2. Fausto Ferrari
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  3. Sandro Salsa
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Correspondence to Sandro Salsa.

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Cerutti, M., Ferrari, F. & Salsa, S. Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,γ . Arch. Rational Mech. Anal. 171, 329–348 (2004). https://doi.org/10.1007/s00205-003-0290-5

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  • DOI: https://doi.org/10.1007/s00205-003-0290-5

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