Nonlinear perturbations of a periodic magnetic Choquard equation with Hardy-Littlewood-Sobolev critical exponent

DOI10.1007/s00033-020-01370-0zbMath1464.35311arXiv1907.05435OpenAlexW3047240118MaRDI QIDQ2023681

N. da Hora Lisboa, L. L. Vieira, Hamilton P. Bueno

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05435

zbMATH Keywords

variational methodsHardy-Littlewood-Sobolev critical exponentmagnetic Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items

On a Kirchhoff Choquard type equation with magnetic field involving exponential critical growth in \(\mathbb{R}^2\) ⋮ Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field ⋮ Multiplicity and concentration of solutions for a class of magnetic Schrödinger-Poisson system with double critical growths ⋮ Fractional Kirchhoff-Choquard equation involving Schrödinger term and upper critical exponent

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