{"id":237,"date":"2017-01-26T14:33:03","date_gmt":"2017-01-26T14:33:03","guid":{"rendered":"http:\/\/sites.maths.cf.ac.uk\/swngsn\/?p=237"},"modified":"2017-01-26T14:33:03","modified_gmt":"2017-01-26T14:33:03","slug":"existence-of-geometric-d-solutions-to-the-dirichlet-problem-for-the-infinity-laplacian-which-are-critical-points-nikos-katzourakis","status":"publish","type":"post","link":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/2017\/01\/26\/existence-of-geometric-d-solutions-to-the-dirichlet-problem-for-the-infinity-laplacian-which-are-critical-points-nikos-katzourakis\/","title":{"rendered":"Existence of geometric D-solutions to the Dirichlet problem for the Infinity-Laplacian which are critical points, Nikos Katzourakis (Reading)"},"content":{"rendered":"<div>The\u00a0Infinity-Laplacian is a 2nd order nonlinear PDE system with discontinuous coefficients which arises in vectorial Calculus of Variations in L-Infinity when minimising the sup-norm of the gradient over a class of Lipschitz maps. In this talk I will discuss an existence result of appropriately defined &#8220;weak\u201d solutions to the Dirichlet problem for a generalised Infinity-Laplacian which have geometric properties and are critical points of the respective energy functional. This talk is based on joint work with Giovanni Pisante and Gisela Croce.<\/div>\n","protected":false},"excerpt":{"rendered":"<p>The\u00a0Infinity-Laplacian is a 2nd order nonlinear PDE system with discontinuous coefficients which arises in vectorial Calculus of Variations in L-Infinity when minimising the sup-norm of the gradient over a class of Lipschitz maps. In this talk I will discuss an existence result of appropriately defined &#8220;weak\u201d solutions to the Dirichlet problem for a generalised Infinity-Laplacian\u2026 <span class=\"read-more\"><a href=\"https:\/\/sites.maths.cf.ac.uk\/swngsn\/2017\/01\/26\/existence-of-geometric-d-solutions-to-the-dirichlet-problem-for-the-infinity-laplacian-which-are-critical-points-nikos-katzourakis\/\">Read More &raquo;<\/a><\/span><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,6],"tags":[],"class_list":["post-237","post","type-post","status-publish","format-standard","hentry","category-abstracts","category-meeting-5"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/posts\/237","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/comments?post=237"}],"version-history":[{"count":0,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/posts\/237\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/media?parent=237"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/categories?post=237"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/tags?post=237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}