{"id":111,"date":"2022-04-07T12:48:52","date_gmt":"2022-04-07T16:48:52","guid":{"rendered":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/?p=111"},"modified":"2022-04-15T00:27:20","modified_gmt":"2022-04-15T04:27:20","slug":"extremals-in-hardy-littlewood-sobolev-inequalities-for-stable-processes","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/2022\/04\/extremals-in-hardy-littlewood-sobolev-inequalities-for-stable-processes\/","title":{"rendered":"Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes"},"content":{"rendered":"<h3>Speaker: <a href=\"https:\/\/www.ku.de\/en\/mgf\/mathematics\/analysis\/team\/dr-antonella-ritorto\" target=\"_blank\" rel=\"noopener\">Antonella Ritorto<\/a><\/h3>\n<h3>Katholische Universit\u00e4t Eichst\u00e4tt-Ingolstadt, Germany<\/h3>\n<h3>Date:\u00a0 April 13, 2022 at 12 Santiago time<\/h3>\n<p><strong>Abstract: <\/strong>In this talk, we prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated with an stable operator, via a concentration-compactness principle for stable\u00a0processes. This result can be seen as the first step to study existence of positive solutions of the\u00a0corresponding nonlocal equations with critical nonlinearities perturbed by lower order terms.<\/p>\n<p>Joint work with Arturo de Pablo (Universidad Carlos III de Madrid) and Fernando Quir\u00f3s (Universidad\u00a0Aut\u00f3noma de Madrid).<\/p>\n<p><strong>Venue:<\/strong> Online via Zoom \/ Sala de seminarios DIM, Beauchef 851, piso 5<br \/>\n<strong>Chair:<\/strong> Gabrielle Nornberg<\/p>\n<a href=\"https:\/\/youtu.be\/ZYB_wMK-06I\" class=\"su-button su-button-style-flat\" style=\"color:#FFFFFF;background-color:#bc360a;border-color:#972c08;border-radius:7px\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"color:#FFFFFF;padding:7px 20px;font-size:16px;line-height:24px;border-color:#d17354;border-radius:7px;text-shadow:none\"><i class=\"sui sui-youtube-play\" style=\"font-size:16px;color:#FFFFFF\"><\/i> YouTube video (in Spanish)<\/span><\/a>\n<p>&nbsp;<\/p>\n<div class=\"su-youtube su-u-responsive-media-yes\"><iframe loading=\"lazy\" width=\"600\" height=\"400\" src=\"https:\/\/www.youtube.com\/embed\/ZYB_wMK-06I?\" frameborder=\"0\" allowfullscreen allow=\"autoplay; encrypted-media; picture-in-picture\" title=\"\"><\/iframe><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Antonella Ritorto (Katholische Universit\u00e4t Eichst\u00e4tt-Ingolstadt, Germany)<\/p>\n","protected":false},"author":85,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-111","post","type-post","status-publish","format-standard","hentry","category-past-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/users\/85"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/comments?post=111"}],"version-history":[{"count":10,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/111\/revisions"}],"predecessor-version":[{"id":185,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/111\/revisions\/185"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/media?parent=111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/categories?post=111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/tags?post=111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}