TY - JOUR
T1 - Fractional Hardy–Sobolev Inequalities and Existence Results for Fractional Sub-Laplacians
AU - Kassymov, A.
AU - Suragan, D.
N1 - Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - We obtain the fractional Hardy–Sobolev inequality on homogeneous Lie groups. We prove a fractional version of the logarithmic Hardy–Sobolev inequality on homogeneous Lie groups, which seems new even in the Euclidean setting. As an application, we establish the existence of a weak solution for fractional sub-Laplacians with Hardy potential.
AB - We obtain the fractional Hardy–Sobolev inequality on homogeneous Lie groups. We prove a fractional version of the logarithmic Hardy–Sobolev inequality on homogeneous Lie groups, which seems new even in the Euclidean setting. As an application, we establish the existence of a weak solution for fractional sub-Laplacians with Hardy potential.
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U2 - 10.1007/s10958-020-05019-1
DO - 10.1007/s10958-020-05019-1
M3 - Article
AN - SCOPUS:85090378942
SN - 1072-3374
VL - 250
SP - 337
EP - 350
JO - Journal of Mathematical Sciences (United States)
JF - Journal of Mathematical Sciences (United States)
IS - 2
ER -