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Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials

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Abstract

We consider a class of discrete nonlinear Schrödinger equations with unbounded potentials. We obtain some new multiplicity results of breathers of the equations by using critical point theory. Our results greatly improve some recent results in the literature.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Zhan Zhou & DeFang Ma

  2. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, 510006, China

    Zhan Zhou & DeFang Ma

Authors
  1. Zhan Zhou
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  2. DeFang Ma
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Correspondence to Zhan Zhou.

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Zhou, Z., Ma, D. Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials. Sci. China Math. 58, 781–790 (2015). https://doi.org/10.1007/s11425-014-4883-2

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  • DOI: https://doi.org/10.1007/s11425-014-4883-2

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