A. Tertikas

activity

20032005

most citedRefined geometric L^p Hardy inequalities

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

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5 papers · 1 filter

math.AP2005

On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality

Achilles Tertikas, Kyril Tintarev

We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in $R^{m + n} ∖ R^{n}$ for $m = 1$ and $n > 2$ or for $m > 2$ and $n > 0$ .

math.AP2004

On a class of Rellich inequalities

G. Barbatis, A. Tertikas

We prove Rellich and improved Rellich inequalities that involve the distance function from a hypersurface of codimension $k$ , under a certain geometric assumption. In case the dist…

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…