Existence results for Kirchhoff type Schrödinger-Poisson system involving the fractional Laplacian
type: Item
instance of: scholarly article
title: Existence results for Kirchhoff type Schrödinger-Poisson system involving the fractional Laplacian
zbMATH Open document ID: 1504.35008
author: Yanyan Li
published in: Rocky Mountain Journal of Mathematics
publication date: 2022-12-14T00:00:00Z
full work available at URL: rmj.2022.52.1831.full
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 7632906
zbMATH Keywords: critical group
zbMATH Keywords: fractional Schrödinger-Poisson system
zbMATH Keywords: Kirchhoff-type problem
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
OpenAlex ID: W4385640473
cites work: An existence result for a fractional Kirchhoff-Schrödinger-Poisson system
cites work: Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method
cites work: Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: An eigenvalue problem for the Schrödinger-Maxwell equations
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems
cites work: Standing waves for 4-superlinear Schrödinger-Kirchhoff equations
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: Existence of solutions to a superlinear \(p\)-Laplacian equation
cites work: Concentration results for a magnetic Schrödinger-Poisson system with critical growth
cites work: Remarks on multiple nontrivial solutions for quasi-linear resonant problems
cites work: On Clark's theorem and its applications to partially sublinear problems
cites work: Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials
cites work: Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation
cites work: Critical point theory and Hamiltonian systems
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Q3560017
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
cites work: Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
cites work: Existence and concentration of positive ground state solutions for nonlinear fractional Schrödinger‐Poisson system with critical growth
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: Superlinear nonlocal fractional problems with infinitely many solutions
cites work: Multiplicity results for nonlocal fractional \(p\)-Kirchhoff equations via Morse theory
cites work: Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
cites work: Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity
DOI: 10.1216/RMJ.2022.52.1831
description: scientific article; zbMATH DE number 7632906