Fractional magnetic Sobolev inequalities with two variables

DOI10.7153/MIA-2019-22-48zbMath1419.35210OpenAlexW2933146483WikidataQ128107329 ScholiaQ128107329MaRDI QIDQ5226578

Michael Melgaard, Zhenyu Guo

Publication date: 1 August 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-48

zbMATH Keywords

magnetic fieldground statefractional Sobolev critical exponent

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (3)

A fractional magnetic Hardy-Sobolev inequality with two variables ⋮ Magnetic fractional Poincaré inequality in punctured domains ⋮ Fractional Hardy-Sobolev inequalities with magnetic fields

Cites Work

• Unnamed Item
• On critical systems involving fractional Laplacian
• Hitchhiker's guide to the fractional Sobolev spaces
• Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
• Fractional NLS equations with magnetic field, critical frequency and critical growth
• Multiplicity results for magnetic fractional problems
• Ground states for fractional magnetic operators
• Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals
• The Brezis-Nirenberg result for the fractional Laplacian

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