On nonlinear fractional Schrödinger equations with Hartree-type nonlinearity

DOI10.1080/00036811.2016.1260708zbMath1393.35224OpenAlexW2552768470WikidataQ58253063 ScholiaQ58253063MaRDI QIDQ4638893

Guojin Xu, Dengfeng Lü

Publication date: 2 May 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1260708

zbMATH Keywords

fractional Schrödinger equationexistence and multiplicityconcentration behaviorHartree-type nonlinearity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (8)

Global existence and finite time blow-up for a class of fractional \(p\)-Laplacian Kirchhoff type equations with logarithmic nonlinearity ⋮ Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ On doubly nonlocal \(p\)-fractional coupled elliptic system ⋮ On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities ⋮ Regularity and classification of solutions to static Hartree equations involving fractional Laplacians ⋮ Existence of nontrivial solutions for fractional Choquard equations with critical or supercritical growth ⋮ A critical fractional Choquard problem involving a singular nonlinearity and a Radon measure ⋮ Some existence and uniqueness results for logistic Choquard equations

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