S. Filippas

most citedRefined geometric L^p Hardy inequalities

5 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2003

Critical heat kernel estimates via Hardy-Sobolev inequalities

G. Barbatis, S. Filippas, A. Tertikas

We obtain Sobolev inequalities for the Schrodinger operator -Δ-V, where V has critical behaviour V(x)=((N-2)/2)^2|x|^{-2} near the origin. We apply these inequalities to obtain poi…

math.AP2003★ 5 cited

Refined geometric L^p Hardy inequalities

G. Barbatis, S. Filippas, A. Tertikas

For a bounded convex domain Ωin R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of Ω, the volume of $Ω$ , as w…

math.AP2003★ 2 cited

Series expansion for L^p Hardy inequalities

G. Barbatis, S. Filippas, A. Tertikas

We consider a general class of sharp $L^{p}$ Hardy inequalities in $R^{N}$ involving distance from a surface of general codimension $1 \leq k \leq N$ . We show that we can succesively im…