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Periodic energy minimizers for a one-dimensional liquid drop model

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Abstract

We reprove a result by Ren and Wei concerning the periodicity of minimizers of a one-dimensional liquid drop model in the neutral case. Our proof works for general boundary conditions and also in the non-neutral case.

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Authors and Affiliations

  1. Mathematisches Institut, Ludwig-Maximilans Universität München, Theresienstr. 39, 80333, Munich, Germany

    Rupert L. Frank

  2. Mathematics 253-37, Caltech, Pasadena, CA, 91125, USA

    Rupert L. Frank

  3. Departments of Mathematics and Physics, Princeton University, Washington Road, Princeton, NJ, 08544, USA

    Elliott H. Lieb

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  1. Rupert L. Frank
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  2. Elliott H. Lieb
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Correspondence to Rupert L. Frank.

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U.S. National Science Foundation Grants DMS-1363432 (R.L.F.) and PHY-1265118 (E.H.L.) are acknowledged.

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Frank, R.L., Lieb, E.H. Periodic energy minimizers for a one-dimensional liquid drop model. Lett Math Phys 109, 2069–2081 (2019). https://doi.org/10.1007/s11005-019-01171-1

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  • DOI: https://doi.org/10.1007/s11005-019-01171-1

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