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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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