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- Université de LorraineFR874 papers
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5 papers · 2 filters
Regularity for the planar optimal p-compliance problem
Bohdan Bulanyi, Antoine Lemenant
In this paper we prove a partial regularity result in dimension for the optimal -compliance problem, extending for some of the results obtained by A.…
On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
Ilaria Lucardesi, Davide Zucco
We study Blaschke-Santaló diagrams associated to the torsional rigidity and the first eigenvalue of the Laplacian with Dirichlet boundary conditions. We work under convexity and vo…
On the quantitative isoperimetric inequality in the plane with the barycentric distance
Chiara Bianchini, Gisella Croce, Antoine Henrot
In this paper we study the following quantitative isoperimetric inequality in the plane: where is the isoperimetric deficit and is the barycentric…
On the Ball-Marsden-Slemrod obstruction for bilinear control systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In this paper we present an extension to the case of -controls of a famous result by Ball--Marsden--Slemrod on the obstruction to the controllability of bilinear control syste…
Obstruction to the billinear control of the Gross-Pitaevskii equation: an example with an unbounded potential
Thomas Chambrion, Laurent Thomann
In 1982, Ball, Marsden, and Slemrod proved an obstruction to the controllability of linear dynamics with a bounded bilinear control term. This note presents an example of nonlinear…