6 citations · 15 across the 18 of their papers we have counts for
4 papers · 1 filter
Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group
Aidyn Kassymov, Michael Ruzhansky, Niyaz Tokmagambetov +1
In this paper, we show the nonexistence results for the Kirchhoff elliptic, parabolic, and hyperbolic type equations on the Heisenberg groups. Also, the pseudo-parabolic and pseudo…
Logarithmic Hardy-Rellich inequalities on Lie groups
Marianna Chatzakou, Aidyn Kassymov, Michael Ruzhansky
In this paper we obtain logarithmic Hardy and Rellich inequalities on general Lie groups. In the case of graded groups, we also show their refinements using the homogeneous Sobolev…
Logarithmic Sobolev-type inequalities on Lie groups
Marianna Chatzakou, Aidyn Kassymov, Michael Ruzhansky
In this paper we show a number of logarithmic inequalities on several classes of Lie groups: log-Sobolev inequalities on general Lie groups, log-Sobolev (weighted and unweighted),…
Anisotropic Shannon inequality
Marianna Chatzakou, Aidyn Kassymov, Michael Ruzhansky
In this note we prove the anisotropic version of the Shannon inequality. This can be conveniently realised in the setting of Folland and Stein's homogeneous groups. We give two pro…