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Non-periodic discrete Schrödinger equations: ground state solutions

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Abstract

In this paper, we study a class of non-periodic discrete Schrödinger equations with superlinear non-linearities at infinity. Under conditions weaker than those previously assumed, we obtain the existence of ground state solutions, i.e., non-trivial solutions with least possible energy. In addition, an example is given to illustrate our results.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong Province, People’s Republic of China

    Guanwei Chen

  2. Department of Mathematics, University of California, Irvine, CA, 92697-3875, USA

    Martin Schechter

Authors
  1. Guanwei Chen
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  2. Martin Schechter
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Correspondence to Guanwei Chen.

Additional information

Research supported by National Natural Science Foundation of China (No. 11401011).

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Chen, G., Schechter, M. Non-periodic discrete Schrödinger equations: ground state solutions. Z. Angew. Math. Phys. 67, 72 (2016). https://doi.org/10.1007/s00033-016-0665-8

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  • DOI: https://doi.org/10.1007/s00033-016-0665-8

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