Advances in Mathematical Physics (Jan 2019)

Fractional Hardy–Sobolev Inequalities with Magnetic Fields

  • Min Liu,
  • Fengli Jiang,
  • Zhenyu Guo

DOI
https://doi.org/10.1155/2019/6595961
Journal volume & issue
Vol. 2019

Abstract

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A fractional Hardy–Sobolev inequality with a magnetic field is studied in the present paper. Under appropriate conditions, the achievement of the best constant of the fractional magnetic Hardy–Sobolev inequality is established.