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Standing Waves for Discrete Nonlinear Schrödinger Equations with Nonperiodic Bounded Potentials

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Abstract

In this paper, we investigate standing waves in discrete nonlinear Schrödinger equations with nonperiodic bounded potentials. By using the critical point theory and the spectral theory of self-adjoint operators, we prove the existence and infinitely many sign-changing solutions of the equation. The results on the exponential decay of standing waves are also provided.

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Authors and Affiliations

  1. College of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, China

    Tie-shan He, Meng Zhang, Kai-hao Liang & Peng-fei Guo

Authors
  1. Tie-shan He
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  2. Meng Zhang
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  3. Kai-hao Liang
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  4. Peng-fei Guo
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Corresponding author

Correspondence to Peng-fei Guo.

Additional information

Supported by Science and technology plan foundation of Guangzhou (No. 201607010218) and by Public Research & Capacity-Building Project of Guangdong (No. 2015A070704059).

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He, Ts., Zhang, M., Liang, Kh. et al. Standing Waves for Discrete Nonlinear Schrödinger Equations with Nonperiodic Bounded Potentials. Acta Math. Appl. Sin. Engl. Ser. 35, 374–385 (2019). https://doi.org/10.1007/s10255-018-0787-1

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  • DOI: https://doi.org/10.1007/s10255-018-0787-1

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