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A nonhomogeneous boundary value problem in mass transfer theory

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Abstract

We prove a uniqueness result of solutions for a system of PDEs of Monge–Kantorovich type arising in problems of mass transfer theory. The results are obtained under very mild regularity assumptions both on the reference set \({\Omega\subset \mathbb{R}^n}\), and on the (possibly asymmetric) norm defined in Ω. In the special case when Ω is endowed with the Euclidean metric, our results provide a complete description of the stationary solutions to the tray table problem in granular matter theory.

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Authors and Affiliations

  1. Dipartimento di Matematica “G. Castelnuovo”, Università di Roma I, P.le A. Moro 2, 00185, Rome, Italy

    Graziano Crasta & Annalisa Malusa

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  1. Graziano Crasta
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  2. Annalisa Malusa
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Correspondence to Annalisa Malusa.

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Communicated by L. Ambrosio.

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Crasta, G., Malusa, A. A nonhomogeneous boundary value problem in mass transfer theory. Calc. Var. 44, 61–80 (2012). https://doi.org/10.1007/s00526-011-0426-7

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  • DOI: https://doi.org/10.1007/s00526-011-0426-7

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