Non-trivial solutions for the fractional Schrödinger-Poisson system with \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Non-trivial solutions for the fractional Schrödinger-Poisson system with \(p\)-Laplacian
author: Chungen Liu
author: Yuyou Zhong
author: Jiabin Zuo
published in: Asymptotic Analysis
publication date: 2024-11-01T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7937638
zbMATH Keywords: fractional Schrödinger-Poisson system
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: mountain pass lemma
MaRDI profile type: Publication
cites work: Normalized solutions for the fractional NLS with mass supercritical nonlinearity
cites work: Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions
cites work: An eigenvalue problem for the Schrödinger-Maxwell equations
cites work: SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
cites work: Q4888858
cites work: Non-local gradient dependent operators
cites work: Multiple normalized solutions for the planar Schrödinger-Poisson system with critical exponential growth
cites work: Planar Schrödinger-Poisson system with critical exponential growth in the zero mass case
cites work: Q4826007
cites work: Nontrivial solution for Schrödinger-Poisson equations involving a fractional nonlocal operator via perturbation methods
cites work: Nonlocal Operators with Applications to Image Processing
cites work: Two-weight norm inequalities for rough fractional integral operators on Morrey spaces
cites work: Existence of solutions with prescribed norm for semilinear elliptic equations
cites work: An existence and stability result for standing waves of nonlinear Schrödinger equations
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Groundstate for the Schrödinger-Poisson-Slater equation involving the Coulomb-Sobolev critical exponent
cites work: Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations
cites work: Normalized solutions to the fractional Schrödinger equations with combined nonlinearities
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q3749777
cites work: Q5607484
cites work: Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
cites work: Existence and symmetry result for fractional \(p\)-Laplacian in \(\mathbb{R}^{n}\)
cites work: Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems
cites work: Existence and nonexistence of nontrivial solutions for the Schrödinger-Poisson system with zero mass potential
cites work: Minimax theorems
cites work: Functional Analysis
cites work: Positive and sign-changing least energy solutions for a fractional Schrödinger–Poisson system with critical exponent
cites work: Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity
cites work: On the \(p\)-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity
cites work: Normalized solutions to the fractional Schrödinger equation with potential
DOI: 10.3233/ASY-241903
description: scientific article; zbMATH DE number 7937638