Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities
type: Item
instance of: scholarly article
title: Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities
zbMATH Open document ID: 1486.39023
author: Genghong Lin
author: Jianshe Yu
published in: The Journal of Geometric Analysis
publication date: 2022-03-21T00:00:00Z
Mathematics Subject Classification ID: 39A27
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 39A70
zbMATH DE Number: 7493858
zbMATH Keywords: periodic discrete nonlinear system
zbMATH Keywords: homoclinic solution
zbMATH Keywords: ground-state solution
zbMATH Keywords: sign-changing mixed nonlinearity
zbMATH Keywords: existence and multiplicity
zbMATH Keywords: critical point theory
MaRDI profile type: Publication
full work available at URL: s12220-022-00866-7
OpenAlex ID: W4210425559
cites work: Breathers in nonlinear lattices: existence, linear stability and quantization
cites work: On variational and topological methods in nonlinear difference equations
cites work: Deformation theorems on non-metrizable vector spaces and applications to critical point theory
cites work: Discrete nonlinear Schrödinger equations with superlinear nonlinearities
cites work: Ground state and geometrically distinct solitons of discrete nonlinear Schrödinger equations with saturable nonlinearities
cites work: Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms
cites work: Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities
cites work: Standing waves for periodic discrete nonlinear Schrödinger equations with asymptotically linear terms
cites work: Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
cites work: Q5429952
cites work: HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD
cites work: Generalized linking theorem with an application to a semilinear Schrödinger equation
cites work: Homoclinic solutions of a class of periodic difference equations with asymptotically linear nonlinearities
cites work: AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
cites work: The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
cites work: Q5227647
cites work: Homoclinic solutions in periodic difference equations with mixed nonlinearities
cites work: Homoclinic solutions in non-periodic discrete \(\phi\)-Laplacian equations with mixed nonlinearities
cites work: Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities
cites work: Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials
cites work: On superlinear Schrödinger equations with periodic potential
cites work: Multibump solutions for discrete periodic nonlinear Schrödinger equations
cites work: Discrete solitons for periodic discrete nonlinear Schrödinger equations
cites work: Ground state solutions for the periodic discrete nonlinear Schrödinger equations with superlinear nonlinearities
cites work: Ground states of a system of nonlinear Schrödinger equations with periodic potentials
cites work: Gap solitons in periodic discrete nonlinear Schrödinger equations
cites work: Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach
cites work: Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity
cites work: Gap solitons in periodic discrete nonlinear Schrödinger equations with saturable nonlinearities
cites work: Generalized Nehari manifold and semilinear Schrödinger equation with weak monotonicity condition on the nonlinear term
cites work: Q3749777
cites work: Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
cites work: The use of Cerami sequences in critical point theory
cites work: Existence of gap solitons in periodic discrete nonlinear Schrödinger equations
cites work: Gap solitons in periodic discrete Schrödinger equations with nonlinearity
cites work: Q4714152
cites work: Guidance properties of nonlinear planar waveguides
cites work: Multiple solutions for discrete periodic nonlinear Schrödinger equations
cites work: Ground state solutions for some indefinite variational problems
cites work: Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation
cites work: Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
cites work: Nontrivial solutions for Schrödinger equation with local super-quadratic conditions
cites work: Q3836536
cites work: Solutions for discrete periodic Schrödinger equations with spectrum 0
cites work: Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry
cites work: On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
cites work: Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity
cites work: On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity
cites work: Homoclinic solutions in periodic difference equations with saturable nonlinearity
cites work: Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials
DOI: 10.1007/S12220-022-00866-7
description: scientific article; zbMATH DE number 7493858