Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\)

DOI10.1186/s13661-019-1128-xOpenAlexW2923451845MaRDI QIDQ2108224

Wen Guan, Da-Bin Wang, Yu Mei Ma

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1128-x

zbMATH Keywords

sign-changing solutionquantitative deformation lemmazero massfractional Schrödinger-Poisson systemsconstraint variational methods

Mathematics Subject Classification ID

Miscellaneous topics in partial differential equations (35Rxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (21)

Existence of least energy nodal solution for Kirchhoff-Schrödinger-Poisson system with potential vanishing ⋮ Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity ⋮ Infinitely many solutions for a class of biharmonic equations with indefinite potentials ⋮ Sign-changing solutions for a class of \(p\)-Laplacian Kirchhoff-type problem with logarithmic nonlinearity ⋮ Least energy sign-changing solutions of fractional Kirchhoff-Schrödinger-Poisson system with critical growth ⋮ On sign-changing solutions for quasilinear Schrödinger-Poisson system with critical growth ⋮ Existence of ground state sign-changing solutions of fractional Kirchhoff-type equation with critical growth ⋮ Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system ⋮ Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system with potential vanishing at infinity ⋮ Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials ⋮ Least energy sign-changing solutions of Kirchhoff-type equation with critical growth ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ The existence of normalized solutions for a nonlocal problem in \(\mathbb{R}^3\) ⋮ Multiple solutions for a class of fractional logarithmic Schrödinger equations ⋮ Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity ⋮ Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth ⋮ Instability of standing waves for the nonlinear Schrödinger-Poisson equation in the \(L^2\)-critical case ⋮ Infinitely many solutions for a class of sublinear fractional Schrödinger-Poisson systems ⋮ Least-energy sign-changing solutions for Kirchhoff-Schrödinger-Poisson systems in \(\mathbb{R}^3\) ⋮ Positive bound state solutions for the nonlinear Schrödinger-Poisson systems with potentials

Cites Work

• Unnamed Item
• A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
• Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
• Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem
• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\)
• On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
• Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem
• Ground state solutions of scalar field fractional Schrödinger equations
• Existence of solutions for perturbed fractional \(p\)-Laplacian equations
• Revisit to sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb{R}^3\)
• Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
• Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
• On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
• On Schrödinger-Poisson systems
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Fractional quantum mechanics and Lévy path integrals
• 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
• Existence and uniqueness of solutions to the second order fuzzy dynamic equations on time scales
• Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
• Multiplicity result for non-homogeneous fractional Schrodinger-Kirchhoff-type equations in \(\mathbb{R}^n\)
• Fractional Schrödinger-Poisson-Kirchhoff type systems involving critical nonlinearities
• Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials
• Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\)
• Sign-changing solutions for non-local elliptic equations involving the fractional Laplacain
• Sign-changing solutions for a class of Schrödinger equations with vanishing potentials
• Minimax theorems
• Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
• Positive solutions of fractional elliptic equation with critical and singular nonlinearity
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
• Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
• The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system
• Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth
• Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
• Three nodal solutions of singularly perturbed elliptic equations on domains without topology
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Radial sign-changing solution for fractional Schrödinger equation
• Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
• Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
• Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
• Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
• Variational Methods for Nonlocal Fractional Problems
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Least energy solutions for a class of fractional Schrödinger-Poisson systems
• Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth
• Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Sign-changing solutions for fractional Schrödinger–Poisson system in ℝ³
• Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• An Extension Problem Related to the Fractional Laplacian
• Ground states for superlinear fractional Schrödinger equations in R^N

This page was built for publication: Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\)