CONFERENCE
Shape Optimization and Isoperimetric and Functional Inequalities
November 21 - 25, 2016
November 21 - 25, 2016
The main purpose of the workshop is to bring together specialists working on various topics involving geometric inequalities, isoperimetric and functional inequalities, partial differential equations on variable domains, with particular attention to the dependence of the solutions of the state equations (generally partial differential equations) on the geometry of their domain of definition. Precisely, we will involve specialists on - shape optimization problems, - free boundary problems, - spectral analysis and geometrical properties - isoperimetric inequalities and other geometric or functional inequalities. The main goal of the workshop is to make the point on some recent techniques, mainly of variational type, which have been developed to prove the existence of optimal shapes and to study their regularity. A second main issue is to present the state of the art on some celebrated open problems and conjectures, and try to make a step forward in the direction of solving them, or at least to obtain new partial information.
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Scientific & Organizing Committee
Dorin Bucur (Université Savoie Mont Blanc) Giuseppe Buttazzo (University of Pisa) Antoine Henrot (Université de Lorraine) Aldo Pratelli (University of Erlangen-Nürnberg) |
Speakers
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Alexandre Girouard ( Université de Laval)
Discretization and Steklov eigenvalues of compact manifold with boundary
Part II, some generalizations
Part I: sum of eigenvalues.
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