Fractional Choquard equations with confining potential with or without subcritical perturbations

DOI10.1515/ans-2019-2062zbMath1436.35322OpenAlexW2977314635WikidataQ127179490 ScholiaQ127179490MaRDI QIDQ2305521

Dimitri Mugnai, Edoardo Proietti Lippi

Publication date: 11 March 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2019-2062

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityground state solutionfractional Choquard equationsubcritical perturbationlack of Ambrosetti-Rabinowitz condition

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Variational methods applied to PDEs (35A15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral operators (47G10) Fractional partial differential equations (35R11)

Related Items

Ground states solutions for a modified generalized Choquard fractional Schrödinger equation ⋮ Existence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential well

Cites Work

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• The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
• Hitchhiker's guide to the fractional Sobolev spaces
• A guide to the Choquard equation
• Choquard equations under confining external potentials
• Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
• On a class of nonlinear Schrödinger equations
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Local density of solutions to fractional equations
• Boson stars as solitary waves
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• From the long jump random walk to the fractional Laplacian
• Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
• Mean field dynamics of boson stars
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Infinitely many solutions of a symmetric Dirichlet problem
• Blowup for nonlinear wave equations describing boson stars
• Pseudorelativistic Hartree Equation with General Nonlinearity: Existence, Non-existence and Variational Identities