{"id":4525,"date":"2022-05-04T10:01:28","date_gmt":"2022-05-04T08:01:28","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/minimization-of-the-eigenvalues-of-the-dirichlet-laplacian-with-a-diameter-constraint-ilaria-lucardesi-institut-elie-cartan-de-lorraine\/"},"modified":"2022-05-04T10:01:28","modified_gmt":"2022-05-04T08:01:28","slug":"minimization-of-the-eigenvalues-of-the-dirichlet-laplacian-with-a-diameter-constraint-ilaria-lucardesi-institut-elie-cartan-de-lorraine","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/minimization-of-the-eigenvalues-of-the-dirichlet-laplacian-with-a-diameter-constraint-ilaria-lucardesi-institut-elie-cartan-de-lorraine\/","title":{"rendered":"Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. &#8211; Ilaria Lucardesi (Institut Elie Cartan de Lorraine)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk I present some recent results about the minimization of $\\lambda_k$ under diameter constraint. After providing existence, attained at a constant width body, and optimality conditions in any dimension, I focus my attention on the optimality of the disk in the plane, giving the precise list of 17 eigenvalues for which the disk is a local minimum. This last fact is confirmed by numerical simulations, which show non circular minimizers out of the afore mentioned 17 values of $k$. These results are obtained in collaboration with B. Bogosel (CMAP) and A. Henrot (IECL).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I present some recent results about the minimization of $\\lambda_k$ under diameter constraint. After providing existence, attained at a constant width body, and optimality conditions in any dimension, I focus my attention on the&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/minimization-of-the-eigenvalues-of-the-dirichlet-laplacian-with-a-diameter-constraint-ilaria-lucardesi-institut-elie-cartan-de-lorraine\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4525","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1540400400,"unipievents_enddate":1540404000,"unipievents_place":"Sala Seminari (Dip. Matematica).","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4525","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4525\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4525"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4525"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}