Ground state solutions for the periodic discrete nonlinear Schrödinger equations with superlinear nonlinearities

DOI10.1155/2013/317139zbMath1291.35356OpenAlexW2062687921WikidataQ58915924 ScholiaQ58915924MaRDI QIDQ369870

Zhan Zhou, Ali Mai

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/317139

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Difference operators (39A70) Ordinary lattice differential equations (34A33)

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Cites Work

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• Discrete nonlinear Schrödinger equations with superlinear nonlinearities
• Homoclinic solutions in periodic difference equations with saturable nonlinearity
• Solutions for discrete periodic Schrödinger equations with spectrum 0
• On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
• Ground state solutions for some indefinite variational problems
• Minimax theorems
• Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach
• On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity
• Gap solitons in periodic discrete nonlinear Schrödinger equations
• On some discrete variational problems