Ground state solutions for nonlinear fractional Kirchhoff-Schrödinger-Poisson systems

DOI10.1515/ijnsns-2019-0205OpenAlexW3090207790MaRDI QIDQ2235600

Li Wang, Ji-xiu Wang, Tao Han, Kun Cheng

Publication date: 21 October 2021

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2019-0205

zbMATH Keywords

variational methodscritical pointsfractional Laplace operatorPohozǎev type manifold

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator.
• Existence of infinitely many solutions to a class of Kirchhoff-Schrödinger-Poisson system
• Infinitely many solutions for a class of sublinear Schrödinger-Maxwell equations
• Hitchhiker's guide to the fractional Sobolev spaces
• On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion
• Sequences of weak solutions for fractional equations
• High energy solutions for the superlinear Schrödinger-Maxwell equations
• Variational problems with free boundaries for the fractional Laplacian
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Phase transition with the line-tension effect
• An existence result for a fractional Kirchhoff-Schrödinger-Poisson system
• Fractional Schrödinger-Poisson-Kirchhoff type systems involving critical nonlinearities
• Long-time dynamics of the Schrödinger-Poisson-Slater system
• Minimax theorems
• Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys
• Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method
• Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity
• Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
• A note on Kirchhoff-type equations with Hartree-type nonlinearities
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• A critical Kirchhoff type problem involving a nonlocal operator
• Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
• Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
• Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
• Superlinear nonlocal fractional problems with infinitely many solutions
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Variational Methods for Nonlocal Fractional Problems
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Existence of nontrivial solutions for fractional Schrödinger‐Poisson system with sign‐changing potentials
• Least energy solutions for a class of fractional Schrödinger-Poisson systems
• Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems
• Financial Modelling with Jump Processes
• Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative
• A general bilinear form to generate different wave structures of solitons for a (3+1)‐dimensional Boiti‐Leon‐Manna‐Pempinelli equation
• Existence and multiplicity of solutions for fractionalp-Laplacian Schrödinger–Kirchhoff type equations
• Infinitely many solutions to quasilinear Schrödinger equations with critical exponent
• Variant fountain theorems and their applications

This page was built for publication: Ground state solutions for nonlinear fractional Kirchhoff-Schrödinger-Poisson systems