Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\)
type: Item
instance of: scholarly article
title: Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\)
author: Dabin Wang
author: Wen Guan
author: Yumei Ma
published in: Boundary Value Problems
publication date: 2022-12-19T00:00:00Z
Mathematics Subject Classification ID: 35Jxx
Mathematics Subject Classification ID: 35Bxx
Mathematics Subject Classification ID: 35Rxx
zbMATH DE Number: 7634169
zbMATH Keywords: fractional Schrödinger-Poisson systems
zbMATH Keywords: constraint variational methods
zbMATH Keywords: quantitative deformation lemma
zbMATH Keywords: sign-changing solution
zbMATH Keywords: zero mass
MaRDI profile type: Publication
full work available at URL: s13661-019-1128-x
OpenAlex ID: W2923451845
cites work: Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
cites work: Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
cites work: Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
cites work: On Schrödinger-Poisson systems
cites work: Ground states for superlinear fractional Schrödinger equations in R^N
cites work: Sign-changing solutions for a class of Schrödinger equations with vanishing potentials
cites work: On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
cites work: Three nodal solutions of singularly perturbed elliptic equations on domains without topology
cites work: Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials
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: An Extension Problem Related to the Fractional Laplacian
cites work: Positive solutions for some non-autonomous Schrödinger-Poisson systems
cites work: Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
cites work: Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\)
cites work: Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem
cites work: Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain
cites work: A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
cites work: Positive solutions of fractional elliptic equation with critical and singular nonlinearity
cites work: Sign-changing solutions for fractional Schrödinger–Poisson system in ℝ3
cites work: Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
cites work: Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
cites work: Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth
cites work: Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
cites work: Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem
cites work: ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
cites work: Revisit to sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb{R}^3\)
cites work: Analysis.
cites work: Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
cites work: Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth
cites work: Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
cites work: Ground state solutions of scalar field fractional Schrödinger equations
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: The Schrödinger-Poisson equation under the effect of a nonlinear local term
cites work: On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
cites work: Least energy solutions for a class of fractional Schrödinger-Poisson systems
cites work: Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
cites work: Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
cites work: Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
cites work: Multiplicity result for non-homogeneous fractional Schrodinger-Kirchhoff-type equations in \(\mathbb{R}^n\)
cites work: Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms
cites work: Existence and uniqueness of solutions to the second order fuzzy dynamic equations on time scales
cites work: A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations
cites work: Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
cites work: Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
cites work: Radial sign-changing solution for fractional Schrödinger equation
cites work: Minimax theorems
cites work: Fractional Schrödinger-Poisson-Kirchhoff type systems involving critical nonlinearities
cites work: Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian
cites work: Existence of solutions for perturbed fractional \(p\)-Laplacian equations
cites work: Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
cites work: The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system
cites work: Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity
cites work: Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
cites work: Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
cites work: Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\)

Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\) (DOI)
DOI: 10.1186/S13661-019-1128-X