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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 2
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Original Articles

Standing waves for discrete nonlinear Schrödinger equations: sign-changing nonlinearities

Pages 308-317 | Received 16 Feb 2011, Accepted 30 Jul 2011, Published online: 14 Sep 2011
 

Abstract

We consider the discrete nonlinear Schrödinger equation with infinitely growing potential and sign-changing power nonlinearity. Making use of critical point theory, we prove an existence and multiplicity result for standing wave solutions.

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