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On Blaschke-Santalo’ diagrams involving the torsional rigidity and the first eigenvalue of the Dirichlet Laplacian – Ilaria Lucardesi (Institut Elie Cartan de Lorraine)

A Blaschke-Santalo’ diagram is the range of a vector shape functional $(F_1,F_2)$ in $\mathbb R^2$. The determination of such attainable set amounts to completely characterize the relation between $F_1$ and $F_2$. In this talk I will present some…

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On the trace of Sobolev spaces on the Von Koch’s snowflake – Michal Wojciechowski (Mathematical Institute of the Polish Academy of Science)

We show that the boundary trace operator on Sobolev space of functions with summable gradient on von Koch’s snowflake has a right inverse. This contrasts with the case of domains with nice boundaries in which, according to Petree’s theorem, a right…

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