Ground states of linearly coupled systems of Choquard type

DOI10.1016/j.aml.2018.04.016OpenAlexW2799320359WikidataQ129914723 ScholiaQ129914723MaRDI QIDQ1644224

Peng Chen, Xiaochun Liu

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.04.016

zbMATH Keywords

ground stateasymptotic behaviourlinearly coupledChoquard type

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (10)

Multiplicity of solutions to linearly coupled Hartree systems with critical exponent ⋮ Existence of positive ground state solutions for the coupled Choquard system with potential ⋮ Ground states solutions for a modified generalized Choquard fractional Schrödinger equation ⋮ Symmetry and nonsymmetry of minimal action sign-changing solutions for the Choquard system ⋮ Existence and asymptotic behavior of solutions for generalized Choquard systems ⋮ On the critical cases of linearly coupled Choquard systems ⋮ Ground states of a class of gradient systems of Choquard type with general nonlinearity ⋮ Vector solutions for linearly coupled Choquard type equations with lower critical exponents ⋮ Existence of solutions for a class of fractional coupled Choquard-type systems with potential vanishing at infinity ⋮ Nontrivial solutions for an elliptic system of Hamiltonian type

Cites Work

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• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Existence of groundstates for a class of nonlinear Choquard equations

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