{"id":5400,"date":"2024-11-28T09:38:17","date_gmt":"2024-11-28T08:38:17","guid":{"rendered":"https:\/\/www.matematica.unina.it\/?ajde_events=prof-antongiulio-fornasiero-universita-degli-studi-di-firenze-fields-without-generic-derivations-copy"},"modified":"2024-11-28T10:20:04","modified_gmt":"2024-11-28T09:20:04","slug":"prof-antongiulio-fornasiero-universita-degli-studi-di-firenze-fields-without-generic-derivations-copy","status":"publish","type":"ajde_events","link":"https:\/\/www.matematica.unina.it\/?ajde_events=prof-antongiulio-fornasiero-universita-degli-studi-di-firenze-fields-without-generic-derivations-copy","title":{"rendered":"Jimmy Lamboley, Universit\u00e0 Sorbonne Parigi &#8211; First example of sharp quantitative Talenti&#8217;s inequality"},"content":{"rendered":"<p class=\"v1MsoNormal\">Il giorno\u00a0<b>mercoled\u00ec 11 dicembre alle ore 16.00 nell&#8217;aula E del DMA<\/b>, il professore\u00a0<b>Jimmy Lamboley<\/b>, Universit\u00e0 Sorbonne Parigi, terr\u00e0 un seminario\u00a0dal titolo:<\/p>\n<div>\n<div>\n<p class=\"v1MsoNormal\"><b>Title<\/b>\u00a0: First example of sharp quantitative Talenti&#8217;s inequality<\/p>\n<p><b>Abstract<\/b>\u00a0: A classical result by Talenti provides a comparison for solutions of Elliptic PDE with Dirichlet boundary conditions. In particular, it implies that the $L^p$-norm of the solution to $-\\Delta u = f$ in a domain $\\Omega$ is lower to the $L^p$-norm of the solution to $-\\Delta v=f^\\sharp$ where $f^\\sharp$ is the symmetric decreasing rearrangement of $f$.<br \/>\nRecently, [Amato, Barbato, Lia Masiello, Paoli 2023] proved a quantitative version of this result in the case $p=\\infty$.<br \/>\nIn this talk, we focus on a similar question in the particular case where $\\Omega$ is a ball $B$, and $f$ is the characteristic function of a set $E\\subset B$: in this case,\u00a0 we show that one can reach a quantitative estimate for the $L^p$-norm, with a sharp exponent. This is a joint work with Paolo ACAMPORA.<\/p>\n<\/div>\n<div>\n<p class=\"v1MsoNormal\">\n<\/div>\n<div>\n<p class=\"v1MsoNormal\">Paolo Acampora, Carlo Nitsch, Cristina Trombetti<\/p>\n<\/div>\n<\/div>\n<div><\/div>\n","protected":false},"author":1,"featured_media":-1,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"tags":[],"event_type":[],"event_type_2":[],"class_list":["post-5400","ajde_events","type-ajde_events","status-publish","has-post-thumbnail","hentry","event_location-aula-e-al-iii-livello-del-dma"],"_links":{"self":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/5400","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events"}],"about":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/types\/ajde_events"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5400"}],"version-history":[{"count":3,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/5400\/revisions"}],"predecessor-version":[{"id":5403,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/5400\/revisions\/5403"}],"wp:attachment":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5400"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5400"},{"taxonomy":"event_type","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type&post=5400"},{"taxonomy":"event_type_2","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type_2&post=5400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}