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MR2671878 (2011f:37148) 37L60 (34A33 34A35 35Q55 39A12 47J30 58E05)
Zhang, Guoping; Liu, Fengshan Existence of breather solutions of the DNLS equations with unbounded potentials. Nonlinear Anal. 71 (2009), no. 12, e786–e792.
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