Multiple positive solutions for the fractional Schrödinger-Poisson systems involving singular terms

DOI10.1007/s00009-020-01533-3zbMath1440.35104OpenAlexW3029212233MaRDI QIDQ2188292

Haining Fan

Publication date: 10 June 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01533-3

zbMATH Keywords

Nehari manifoldfractional Schrödinger-Poisson systemexistence of multiple positive solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Multiple positive solutions for Kirchhoff-type problems in \({\mathbb{R}^3}\) involving critical Sobolev exponents
• Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Fractional quantum mechanics and Lévy path integrals
• Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
• Fractional Schrödinger-Poisson-Kirchhoff type systems involving critical nonlinearities
• Solutions of Hartree-Fock equations for Coulomb systems
• Positive and sign-changing solutions of a Schrödinger-Poisson system involving a critical nonlinearity
• On ground state and nodal solutions of Schrödinger-Poisson equations with critical growth
• Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents
• Positive semiclassical states for a fractional Schrödinger-Poisson system.
• Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth
• Regularity for the nonlinear Signorini problem
• Fractals and quantum mechanics
• Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
• Nonlocal minimal surfaces
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Thomas-fermi and related theories of atoms and molecules
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• An Extension Problem Related to the Fractional Laplacian
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Multiple positive solutions for the fractional Schrödinger-Poisson systems involving singular terms