Remarks about a generalized pseudo-relativistic Hartree equation

DOI10.1016/j.jde.2018.07.058zbMath1433.35033arXiv1805.11985OpenAlexW2963540471WikidataQ129431469 ScholiaQ129431469MaRDI QIDQ1993985

Hamilton P. Bueno, Gilberto A. Pereira, Olímpio Hiroshi Miyagaki

Publication date: 6 November 2018

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

Full work available at URL: https://arxiv.org/abs/1805.11985

zbMATH Keywords

variational methodsfractional LaplacianHartree equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items (7)

Ground state of a magnetic nonlinear Choquard equation ⋮ Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications ⋮ On the convergence of the fractional relativistic Schrödinger operator ⋮ Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth ⋮ Concentration of solutions for a fractional relativistic Schrödinger-Choquard equation with critical growth ⋮ Nodal solutions for pseudo-relativistic Hartree equations ⋮ The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results

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