Non-periodic discrete Schrödinger equations: ground state solutions

DOI10.1007/s00033-016-0665-8zbMath1375.39011OpenAlexW2407646237MaRDI QIDQ322159

Guan-Wei Chen, Schechter, Martin

Publication date: 14 October 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0665-8

zbMATH Keywords

variational methodssuperlinearground state solutionsnon-periodic discrete Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Discrete version of topics in analysis (39A12)

Related Items (14)

Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms ⋮ Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems ⋮ Discrete Schrödinger equations with sign-changing nonlinearities: infinitely many homoclinic solutions ⋮ Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials ⋮ Normalized solutions for the discrete Schrödinger equations ⋮ Perturbed Schrödinger lattice systems: existence of homoclinic solutions ⋮ Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions ⋮ Multiple solutions for the nonhomogeneous discrete nonlinear Schrödinger equation ⋮ Solutions for discrete Schrödinger equations with a nonlocal term ⋮ Non-periodic Schrödinger lattice systems with perturbed and asymptotically linear terms: negative energy solutions ⋮ Homoclinic solutions for perturbed discrete Schrödinger systems in infinite lattices: sublinear and asymptotically linear cases ⋮ Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms ⋮ Perturbed Schrödinger lattice systems with superlinear terms: multiplicity of homoclinic solutions ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

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