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A non-isotropic free transmission problem governed by quasi-linear operators

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Abstract

We study a free transmission problem in which solution minimizes a functional with different definitions in positive and negative phases. We prove some asymptotic regularity results when the jumps of the diffusion coefficients get smaller along the free boundary. At last, we prove a measure-theoretic result related to the free boundary.

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  1. Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, Brazil

    Harish Shrivastava

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  1. Harish Shrivastava
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Correspondence to Harish Shrivastava.

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Shrivastava, H. A non-isotropic free transmission problem governed by quasi-linear operators. Annali di Matematica 200, 2455–2471 (2021). https://doi.org/10.1007/s10231-021-01087-5

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