Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities

Ali Mai and Zhan Zhou

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:317139

DOI: 10.1155/2013/317139

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