{"id":4691,"date":"2022-05-04T10:06:43","date_gmt":"2022-05-04T08:06:43","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/a-comparison-principle-for-the-lane-emden-equation-and-applications-to-geometric-estimates-anna-chiara-zagati-universita-di-ferrara\/"},"modified":"2022-05-04T10:06:43","modified_gmt":"2022-05-04T08:06:43","slug":"a-comparison-principle-for-the-lane-emden-equation-and-applications-to-geometric-estimates-anna-chiara-zagati-universita-di-ferrara","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/a-comparison-principle-for-the-lane-emden-equation-and-applications-to-geometric-estimates-anna-chiara-zagati-universita-di-ferrara\/","title":{"rendered":"A comparison principle for the Lane-Emden equation and applications to geometric estimates &#8211; Anna Chiara Zagati (Universit\u00e0 di Ferrara)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Aula Magna &#8211; Dipartimento di Matematica.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>We introduce a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the p\u2212Laplacian. Then we apply such a comparison principle to obtain a variety of results, as \u201chierarchy\u201d of solutions, sharp pointwise double-side estimates for positive solutions in convex sets, and a sharp geometric estimate on the generalized principal frequencies of convex sets, which provides a generalization of the so-called Hersch-Protter inequality.  Link to attend remotely available at: https:\/\/seminarimap.wixsite.com\/seminarimap\/2021-2022\/anna-chiara-zagati <\/p>\n","protected":false},"excerpt":{"rendered":"<p>We introduce a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the p\u2212Laplacian. Then we apply such a comparison principle to obtain a variety of results, as \u201chierarchy\u201d of solutions, sharp pointwise&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/a-comparison-principle-for-the-lane-emden-equation-and-applications-to-geometric-estimates-anna-chiara-zagati-universita-di-ferrara\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4691","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1643293800,"unipievents_enddate":1643299200,"unipievents_place":"Aula Magna - Dipartimento di 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\/4691","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\/4691\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4691"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4691"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}