59 citations · 111 across the 5 of their papers we have counts for
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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…
Improving estimates to Harnack inequalities
Stathis Filippas, Luisa Moschini, Achilles Tertikas
We consider operators of the form , where is an elliptic operator and is a singular potential, defined on a smooth bounded domain with Di…
On a class of weighted anisotropic Sobolev inequalities
Stathis Filippas, Luisa Moschini, Achilles Tertikas
In this article, motivated by a work of Caffarelli and Cordoba in phase transitions analysis, we prove new weighted anisotropic Sobolev type inequalities, that is Sobolev type ineq…
Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains
Stathis Filippas, Luisa Moschini, Achilles Tertikas
On a smooth bounded domain Ω\subset R^N we consider the Schrödinger operators -Δ-V, with V being either the critical borderline potential V(x)=(N-2)^2/4 |x|^{-2} or V(x)=(1/4) dist…