Discrete Schrödinger equations with sign-changing nonlinearities: infinitely many homoclinic solutions
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Publication:2400671
DOI10.1016/j.jmaa.2017.03.022zbMath1372.39011OpenAlexW2596529702MaRDI QIDQ2400671
Publication date: 29 August 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.03.022
NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (11)
Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems ⋮ Unnamed Item ⋮ Perturbed Schrödinger lattice systems: existence of homoclinic solutions ⋮ Ground-state sign-changing homoclinic solutions for a discrete nonlinear \(p\)-Laplacian equation with logarithmic nonlinearity ⋮ Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system ⋮ Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions ⋮ Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms ⋮ Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation ⋮ Perturbed Schrödinger lattice systems with superlinear terms: multiplicity of homoclinic solutions ⋮ Multiple solutions for non-periodic Schrödinger lattice systems with perturbation and super-linear terms ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD
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