59 citations · 119 across the 15 of their papers we have counts for
16 papers
Estimates on the velocity of a rigid body moving in a fluid
Stathis Filippas, Alkis Tersenov
We obtain estimates of all components of the velocity of a 3D rigid body moving in a viscous incompressible fluid without any symmetry restriction on the shape of the rigid body or…
Sharp Hardy and Hardy--Sobolev inequalities with point singularities on the boundary
Gerassimos Barbatis, Stathis Filippas, Achilles Tertikas
We study the Hardy inequality when the singularity is placed on the boundary of a bounded domain in that satisfies both an interior and exterior ball condition at th…
Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
Jean Dolbeault, Maria J. Esteban, Stathis Filippas +1
We take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symm…
Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian
Stathis Filippas, Luisa Moschini, Achilles Tertikas
In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy ty…
Sharp Trace Hardy-Sobolev-Maz'ya Inequalities and the Fractional Laplacian
Stathis Filippas, Luisa Moschini, Achilles Tertikas
In this work we establish trace Hardy and trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for domains satisfying suitable geometric assumptions such as mean conv…
On the best constant of Hardy-Sobolev Inequalities
Adimurthi, Stathis Filippas, Achilles Tertikas
We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality…