Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions
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Publication:5068959
DOI10.1137/21M1413201zbMath1491.35405OpenAlexW4220932238MaRDI QIDQ5068959
Publication date: 7 April 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1413201
critical point theoryhomoclinic solutionground state solutionexistence and multiplicitylocal superquadratic conditionperiodic discrete nonlinear Schrödinger equation
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Discrete version of topics in analysis (39A12) Difference operators (39A70) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (7)
Cylindrical solutions and ground state solutions to weighted Kirchhoff equations ⋮ Geometric singular perturbation analysis to the coupled Schrödinger equations ⋮ Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type ⋮ Homoclinic solutions for partial difference equations with mixed nonlinearities ⋮ Boundary value problems for a second-order difference equation involving the mean curvature operator ⋮ Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems ⋮ Semiclassical states of fractional Choquard equations with exponential critical growth
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