Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions

Autor: Liqian Jia, Jun Chen, Guanwei Chen
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-15 (2017)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1344-6
Popis: Abstract Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity. Our results generalize some existing results in the literature by using some weaker conditions.
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