Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities

Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities

Abstract In this paper, we study a class of periodic discrete nonlinear Schrödinger equations with asymptotically linear nonlinearities, and prove the existence of ground state solutions (i.e., nontrivial solutions with the least possible energy) by the linking theorem directly. By weakening some co...

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Bibliographic Details
Main Authors: Luyu Zhang, Shiwang Ma
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Advances in Difference Equations
Subjects:
Discrete nonlinear Schrödinger equations
Ground state solutions
Spectral gap
Cerami sequence
Saturable nonlinearity
Online Access:http://link.springer.com/article/10.1186/s13662-018-1574-2

Internet

http://link.springer.com/article/10.1186/s13662-018-1574-2

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