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UID:20250714T040031EDT-2993IbK0VV@132.216.98.100
DTSTAMP:20250714T080031Z
DESCRIPTION:Seminar Montreal Analysis Seminar\n\nUniversité de Montréal\, T
 ime and Room TBA\n\nIn this talk we investigate upper and lower bounds of 
 two shape functionals involving the maximum of the torsion function. More 
 precisely\, we consider $T(Omega)/(M(Omega)|Omega|)$ and $M(Omega)lambda_1
 (Omega)$\, where $Omega$ is a bounded open set of $mathbb{R}^N$ with finit
 e Lebesgue measure $|Omega|$\, $M(Omega)$ denotes the maximum of the torsi
 on function\, (solution of $-Delta u=1$ in $Omega$\, $u=0$ on the boundary
 )\, $T(Omega)=int_Omega u$ $ the torsion\, and $lambda_1(Omega)$ the first
  Dirichlet eigenvalue. Particular attention is devoted to the subclass of 
 convex sets.In this talk we investigate upper and lower bounds of two shap
 e functionals involving the maximum of the torsion function. More precisel
 y\, we consider $T(Omega)/(M(Omega)|Omega|)$ and $M(Omega)lambda_1(Omega)$
 \, where $Omega$ is a bounded open set of $mathbb{R}^N$ with finite Lebesg
 ue measure $|Omega|$\, $M(Omega)$ denotes the maximum of the torsion funct
 ion\, (solution of $-Delta u=1$ in $Omega$\, $u=0$ on the boundary)\, $T(O
 mega)=int_Omega u$ $ the torsion\, and $lambda_1(Omega)$ the first Dirichl
 et eigenvalue. Particular attention is devoted to the subclass of convex s
 ets.\n
DTSTART;VALUE=DATE:20180309
DTEND;VALUE=DATE:20180309
SUMMARY:Antoine Henrot\, Institut Elie Cartan de Lorraine
URL:/mathstat/channels/event/antoine-henrot-institut-e
 lie-cartan-de-lorraine-285496
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