Achilles Tertikas

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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…