E. Russ

activity

20022009

most citedA Faber-Krahn inequality with drift

12 citations · 12 across the 4 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AP2009

Divergence operator and Poincare inequalities on arbitrary bounded domains

Ricardo Duran, Maria-Amelia Muschietti, Emmanuel Russ +1

Let $Ω$ be an arbitrary bounded domain of $R^{n}$ . We study the right invertibility of the divergence on $Ω$ in weighted Lebesgue and Sobolev spaces on $Ω$ , and rely this invertibil…

math.AP2006

Rearrangement inequalities and applications to isoperimetric problems for eigenvalues

Francois Hamel, Nikolai Nadirashvili, Emmanuel Russ

Let $Ω$ be a bounded $C^{2}$ domain in $R^{n}$ , and let $Ω^{*}$ be the Euclidean ball centered at 0 and having the same Lebesgue measure as $Ω$ . Consider the operator $L=-÷(A\nab…

math.AP2006★ 12 cited

A Faber-Krahn inequality with drift

Francois Hamel, Nikolai Nadirashvili, Emmanuel Russ

Let $Ω$ be a bounded $C^{2, α}$ domain in $R^{n}$ ( $n \geq 1$ , $0 < α < 1$ ), $Ω^{*}$ be the open Euclidean ball centered at 0 having the same Lebesgue measure as $Ω$ , $τ \geq 0$ and $v\…