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Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the periodic discrete nonlinear Schrödinger equations with the temporal frequency belonging to a spectral gap.
By using the generalized Nehari manifold approach developed by Szulkin and Weth, we prove the existence of ground state solutions of the equations.
We obtain infinitely many geometrically distinct solutions of the equations when specially the nonlinearity is odd.
The classical Ambrosetti-Rabinowitz superlinear condition is improved.
American Psychological Association (APA)
Mai, Ali& Zhou, Zhan. 2013. Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-462974
Modern Language Association (MLA)
Mai, Ali& Zhou, Zhan. Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-462974
American Medical Association (AMA)
Mai, Ali& Zhou, Zhan. Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-462974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462974