On the existence of ground states of nonlinear fractional Schrödinger systems with close-to-periodic potentials
type: Item
instance of: scholarly article
title: On the existence of ground states of nonlinear fractional Schrödinger systems with close-to-periodic potentials
DOI: 10.1216/RMJ-2018-48-5-1647
author: Xueliang Duan
author: Gongming Wei
published in: Rocky Mountain Journal of Mathematics
publication date: 2018-10-19T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1539936040
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6958796
zbMATH Keywords: nonlinear fractional Schrödinger system
zbMATH Keywords: Nehari manifold
zbMATH Keywords: Fatou's lemma
zbMATH Keywords: Lions' lemma
zbMATH Keywords: Mountain Pass geometry
zbMATH Keywords: Vitali convergence theorem
MaRDI profile type: Publication
cites work: Dual variational methods in critical point theory and applications
cites work: Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\)
cites work: Solutions of the fractional Schrödinger equation with a sign-changing nonlinearity
cites work: Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities
cites work: Homoclinic type solutions for a semilinear elliptic PDE on ℝn
cites work: Photonic crystals. Mathematical analysis and numerical approximation.
cites work: Ground states of elliptic problems involving non homogeneous operators
cites work: A positive solution for a nonlinear Schroedinger equation on R^N
cites work: Ground states of nonlinear Schrödinger equations with potentials
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: On superlinear Schrödinger equations with periodic potential
cites work: Positive solutions for a weakly coupled nonlinear Schrödinger system
cites work: Ground states of a system of nonlinear Schrödinger equations with periodic potentials
cites work: Solutions to a nonlinear Schrödinger equation with periodic potential and zero on the boundary of the spectrum
cites work: On a Class of Nonlinear Second-Order Differential Equations
cites work: Characteristic values associated with a class of nonlinear second-order differential equations
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Periodic nonlinear Schrödinger equation with application to photonic crystals
cites work: On a class of nonlinear Schrödinger equations
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: Ground state solutions for some indefinite variational problems
cites work: Q3067285
cites work: Minimax theorems
OpenAlex ID: W2897721235
description: scientific article; zbMATH DE number 6958796