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Geometric Properties for a Finsler Bernoulli Exterior Problem

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Current Trends in Analysis, its Applications and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

The aim of this paper is to prove convexity results for an exterior anisotropic free boundary problem of the Bernoulli type. More precisely we recover the results obtained in Henrot and Shahgholian (Nonlinear Anal 28(5):815–823, 1997) for the exterior problem, in the Finsler setting.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica “U. Dini”, Università degli Studi di Firenze, Firenze, Italy

    Chiara Bianchini

Authors
  1. Chiara Bianchini
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Correspondence to Chiara Bianchini .

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Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  2. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

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Bianchini, C. (2022). Geometric Properties for a Finsler Bernoulli Exterior Problem. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_43

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