Non-periodic discrete Schrödinger equations with sign-changing and super-quadratic terms: Existence of solutions

Liqian Jia; Guanwei Chen

doi:10.11948/20190326

2021 Volume 11 Issue 1

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Liqian Jia, Guanwei Chen. Non-periodic discrete Schrödinger equations with sign-changing and super-quadratic terms: Existence of solutions[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 242-253. doi: 10.11948/20190326

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Liqian Jia, Guanwei Chen. Non-periodic discrete Schrödinger equations with sign-changing and super-quadratic terms: Existence of solutions[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 242-253. doi: 10.11948/20190326

Non-periodic discrete Schrödinger equations with sign-changing and super-quadratic terms: Existence of solutions

Liqian Jia¹,
Guanwei Chen^1, ,

1.
School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Corresponding author: Email address: guanweic@163.com(G. Chen)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 11771182) and Natural Science Foundation of Shandong Province (No. ZR2017JL005)

Abstract

Abstract

We study the existence of homoclinic solutions for a class of non-periodic discrete nonlinear Schrödinger equations, where nonlinearities are super-linear at infinity, and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our result extends and improves some results in the literature. Besides, we also give examples to illuminate our results.
- non-periodic discrete Schrödinger equations /
- super-linear /
- homoclinic solutions /
- sign-changing /
- variational methods
MSC: 35Q51, 35Q55, 39A12, 39A70

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References

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