Multiple positive solutions for a coupled nonlinear Hartree type equations with perturbations

DOI10.1016/j.jmaa.2017.01.059zbMath1359.35055OpenAlexW2581988898MaRDI QIDQ511287

Yangyang Dong, Lu Xiao, Jun Wang, Qing He

Publication date: 14 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.01.059

zbMATH Keywords

positive solutionsvariational methodscoupled Hartree equations

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Perturbations in context of PDEs (35B20) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items

Positive ground states for nonlinearly coupled Choquard type equations with lower critical exponents, Positive solutions and infinitely many solutions for a weakly coupled system, On doubly nonlocal \(p\)-fractional coupled elliptic system, Multiple nodal and semi-nodal solutions to a nonlinear Choquard-type system, Unnamed Item, Existence of ground state solutions of the coupled nonlinear Hartree type system with attractive couplings, Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey, Positive ground states for coupled nonlinear Choquard equations involving Hardy-Littlewood-Sobolev critical exponent, Positive least energy solutions for coupled nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponent, Ground states of coupled critical Choquard equations with weighted potentials

Cites Work

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• Existence of multiple positive solutions for Choquard equation with perturbation
• Nodal solutions for the Choquard equation
• Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms
• Multiple solutions to a magnetic nonlinear Choquard equation
• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• The classical field limit of scattering theory for non-relativistic many- boson systems. I
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• On the point-particle (Newtonian) limit of the nonlinear Hartree equation
• Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction
• Solutions of Hartree-Fock equations for Coulomb systems
• Minimax theorems
• Multiple \(\mathbb {S}^{1}\)-orbits for the Schrödinger-Newton system.
• Positive and sign changing solutions to a nonlinear Choquard equation
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Spherically-symmetric solutions of the Schrödinger-Newton equations
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Existence of groundstates for a class of nonlinear Choquard equations
• Least action nodal solutions for the quadratic Choquard equation
• From atoms to crystals: a mathematical journey
• Methods in Nonlinear Analysis