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Multiple solutions to logarithmic Schrödinger equations with periodic potential

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An Erratum to this article was published on 13 April 2017

Abstract

We study a class of logarithmic Schrödinger equations with periodic potential which come from physically relevant situations and obtain the existence of infinitely many geometrically distinct solutions.

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Acknowledgments

The first author would like to thank Prof.Iwo Białynicki-Birula from the Center for Theoretical Physics PAN, Warsaw, for useful comments about the relevance of Eq. (1.1) from the physical point of view.

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Authors and Affiliations

  1. Dipartimento di Informatica, Università degli Studi di Verona, Strada Le Grazie 15, 37134, Verona, Italy

    Marco Squassina

  2. Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden

    Andrzej Szulkin

Authors
  1. Marco Squassina
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  2. Andrzej Szulkin
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Corresponding author

Correspondence to Marco Squassina.

Additional information

Communicated by P. Rabinowitz.

The first author was supported by the MIUR project: “Variational and Topological Methods in the Study of Nonlinear Phenomena”. The work was partially carried out during a stay of M. Squassina in Stockholm. He would like to express his gratitude to the Department of Mathematics of Stockholm University for the warm hospitality.

An erratum to this article is available at http://dx.doi.org/10.1007/s00526-017-1127-7.

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Squassina, M., Szulkin, A. Multiple solutions to logarithmic Schrödinger equations with periodic potential. Calc. Var. 54, 585–597 (2015). https://doi.org/10.1007/s00526-014-0796-8

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  • DOI: https://doi.org/10.1007/s00526-014-0796-8

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