Fractional Hardy–Sobolev Inequalities with Magnetic Fields
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.
Main Authors: | Min Liu, Fengli Jiang, Zhenyu Guo |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2019-01-01
|
Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2019/6595961 |
Similar Items
-
Schrodinger equations with magnetic fields and Hardy-Sobolev critical exponents
by: Zhenyu Guo, et al.
Published: (2017-08-01) -
Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups
by: Michael Ruzhansky, et al.
Published: (2020-12-01) -
Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains
by: Sloane, Craig Andrew
Published: (2011) -
The refinement and generalization of Hardy’s inequality in Sobolev space
by: Xiaomin Xue, et al.
Published: (2018-11-01) -
Fractional Hardy-Sobolev equations with nonhomogeneous terms
by: Bhakta Mousomi, et al.
Published: (2021-03-01)