Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems
type: Item
instance of: scholarly article
title: Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems
zbMATH Open document ID: 1546.37112
author: Mohsen Timoumi
published in: SN Partial Differential Equations and Applications
publication date: 2024-05-30T00:00:00Z
Mathematics Subject Classification ID: 37J51
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7856430
zbMATH Keywords: fractional Hamiltonian systems
zbMATH Keywords: nontrivial solutions
zbMATH Keywords: variational methods
zbMATH Keywords: concentration compactness principle
zbMATH Keywords: monotonicity trick
MaRDI profile type: Publication
cites work: Variational approach to homoclinic solutions for fractional Hamiltonian systems
cites work: Positive solutions for boundary value problem of nonlinear fractional differential equation
cites work: The existence of solutions for a fractional multi-point boundary value problem
cites work: Existence and multiplicity of nontrivial solutions for Liouville-Weyl fractional nonlinear Schrödinger equation
cites work: Applications of fractional calculus in physics
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: The existence of solutions to boundary value problems of fractional differential equations at resonance
cites work: Q3141895
cites work: Q5699297
cites work: Positive solutions for boundary value problems of nonlinear fractional differential equation
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Critical point theory and Hamiltonian systems
cites work: Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives
cites work: Q3141902
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3749777
cites work: Ground state solutions for a class of superquadratic fractional Hamiltonian systems
cites work: Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems
cites work: Q5409532
cites work: Q3384983
cites work: Ground state solution for differential equations with left and right fractional derivatives
cites work: Solutions for perturbed fractional Hamiltonian systems without coercive conditions
cites work: Existence of solutions to fractional Hamiltonian systems with combined nonlinearities
cites work: Solutions for subquadratic fractional Hamiltonian systems without coercive conditions
cites work: Variational approach to solutions for a class of fractional Hamiltonian systems
cites work: Existence of a solution for the fractional differential equation with nonlinear boundary conditions
DOI: 10.1007/S42985-024-00278-Y
description: scientific article; zbMATH DE number 7856430