Tao Zhou, Xia Liu, Haiping Shi, Zongliang Wen
In this article we study discrete nonlinear Schrodinger equations without periodicity assumptions. We show the existence of multiple solutions of the form (called breathers) by using Clark's Theorem in critical point theory.
Submitted March 28, 2018. Published February 14, 2019.
Math Subject Classifications: 39A12, 39A70, 35C08.
Key Words: Breather; discrete nonlinear Schrodinger equation; subquadratic; critical point.
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| Tao Zhou |
School of Public Administration and Emergency Management
Guangzhou 510632, China
| Xia Liu |
College of Continuing Education and Open College
Guangdong University of Foreign Studies
Guangzhou 510420, China
| Haiping Shi |
Modern Business and Management Department
Guangdong Construction Polytechnic
Guangzhou 510440, China
| Zongliang Wen |
College of Pharmacy
Guangxi University of Chinese Medicine
Nanning 530001, China
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