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Zbl 1238.37030
Zhang, Guoping; Liu, Fengshan
Existence of breather solutions of the DNLS equations with unbounded potentials. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e786-e792 (2009). ISSN 0362-546X

Summary: We use a discrete version of the compact embedding theorem and the Nehari manifold approach to show the existence of nontrivial breather solutions without the Palais-Smale condition.

MSC 2000:: *37L60 Lattice dynamics
34A33
58E05 Abstract critical point theory
34A35 ODE of infinite order
35Q55 NLS-like (nonlinear Schroedinger) equations
47J30 Variational methods

Keywords: DNLS equation; existence; breather solution; unbounded potential; variational method; Nehari manifold

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