Sharp and quantitative bounds for torsional rigidity with Dirichlet and Robin boundary conditions

Organisé par

Institut Henri Poincaré

Torsional rigidity is a classical quantity associated with the Poisson problem with Dirichlet boundary conditions and is closely related to the geometry of the underlying domain. In this talk we consider open, bounded and convex sets in R^n and present sharp geometric inequalities relating torsional rigidity to basic geometric quantities such as the perimeter, the measure of the set, and the inrad

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