{"id":177,"date":"2021-10-25T23:09:52","date_gmt":"2021-10-26T02:09:52","guid":{"rendered":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/?p=177"},"modified":"2022-04-13T23:27:18","modified_gmt":"2022-04-14T03:27:18","slug":"infinitely-many-entire-solutions-to-a-mixed-dispersion-schrodinger-equation-with-generic-non-linearity","status":"publish","type":"post","link":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/2021\/10\/infinitely-many-entire-solutions-to-a-mixed-dispersion-schrodinger-equation-with-generic-non-linearity\/","title":{"rendered":"Infinitely many entire solutions to a mixed dispersion Schr\u00f6dinger equation with generic non-linearity"},"content":{"rendered":"<h3>Speaker: <a href=\"https:\/\/www.researchgate.net\/profile\/Jacopo-Schino\" target=\"_blank\" rel=\"noopener\">Jacopo Schino<\/a><\/h3>\n<h3>Institute of Mathematics of the Polish Academy of Sciences, Poland<\/h3>\n<h3>Date: October 28, 2021 at 16:15 Santiago time<\/h3>\n<p><strong>Abstract: <\/strong>I will present a multiplicity result for the mixed dispersion non-linear Schr\u00f6dinger equation<\/p>\n<p>\\[\\Delta^2u\u2212\\beta \\Delta u=g(u), \\qquad \\mbox{in}\\quad\\mathbb{R}^N \\]\n<p>focusing on the case N \\geq 5, where the non-linearity $g\\colon\\mathbb R\\to \\mathbb R$ satisfies assumptions in the spirit of Berestycki &amp; Lions.After showing some compactness results, I will demonstrate how the variational approach of [1], which makes use of auxiliary functionals, can be used for this problem.<\/p>\n<p><strong>Venue:<\/strong> Online via Zoom<br \/>\n<strong>Chair:<\/strong> Michal Kowalczyk<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jacopo Schino (Institute of Mathematics of the Polish Academy of Sciences, Poland)<\/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-177","post","type-post","status-publish","format-standard","hentry","category-past-seminar"],"_links":{"self":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/users\/85"}],"replies":[{"embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/comments?post=177"}],"version-history":[{"count":5,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/177\/revisions"}],"predecessor-version":[{"id":179,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/177\/revisions\/179"}],"wp:attachment":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/media?parent=177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/categories?post=177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/tags?post=177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}