Concentration phenomena for a fractional Choquard equation with magnetic field

DOI10.4310/DPDE.2019.V16.N2.A2zbMath1409.35211arXiv1807.07442WikidataQ115203802 ScholiaQ115203802MaRDI QIDQ668972

Vincenzo Ambrosio

Publication date: 20 March 2019

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07442

zbMATH Keywords

penalization methodfractional Choquard equationfractional magnetic Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11)

Related Items (15)

On a Kirchhoff Choquard type equation with magnetic field involving exponential critical growth in \(\mathbb{R}^2\) ⋮ The multiplicity and concentration of positive solutions for the Kirchhoff-Choquard equation with magnetic fields ⋮ Concentration phenomena for fractional magnetic NLS equations ⋮ Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field ⋮ Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations ⋮ Existence of solutions for fractional \(p\)-Kirchhoff type equations with a generalized Choquard nonlinearity ⋮ Multiplicity and concentration results for fractional Choquard equations: doubly critical case ⋮ Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration ⋮ Semiclassical states to the nonlinear Choquard equation with critical growth ⋮ Critical fractional p-Kirchhoff type problem with a generalized Choquard nonlinearity ⋮ Nonlinear perturbations of a periodic magnetic Choquard equation with Hardy-Littlewood-Sobolev critical exponent ⋮ A local mountain pass approach for a class of fractional NLS equations with magnetic fields ⋮ Unnamed Item ⋮ Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field ⋮ Ground states for fractional Choquard equations with magnetic fields and critical exponents

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