{"id":1859,"date":"2026-03-15T22:31:46","date_gmt":"2026-03-15T21:31:46","guid":{"rendered":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/?page_id=1859"},"modified":"2026-07-23T15:32:35","modified_gmt":"2026-07-23T13:32:35","slug":"special-session-7","status":"publish","type":"page","link":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/special-sessions\/special-session-7\/","title":{"rendered":"Special Session 7 &#8211; Recent Developments in Nonlinear Partial Differential Equations"},"content":{"rendered":"<section  class='av_textblock_section av-mms7qkau-d2bee843739779d296e80822fec19f0d '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><h1><span style=\"color: #000000;\">Special Session 7<\/span><\/h1>\n<h2><span style=\"color: #000000;\">Recent Developments in Nonlinear Partial Differential Equations<\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>Organizers: <\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">Giuseppe Riey (University of Calabria, Italy),<\/span><\/li>\n<li><span style=\"color: #000000;\">Liliane de Almeida Maia (University of Brasilia, Brazil),<\/span><\/li>\n<li><span style=\"color: #000000;\">Riccardo Molle (University of Rome, &#8220;Tor Vergata&#8221;, Italy).<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>MSC codes:<\/strong> 35J60<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Description:<\/strong> <\/span><\/p>\n<p><span style=\"color: #000000;\">In this session, we aim to present several results on the existence, multiplicity, and qualitative properties of solutions to nonlinear elliptic and parabolic partial differential equations, arising from both theoretical frameworks (such as, for instance, differential geometry) and applied models across a wide range of fields, including physics, engineering, biology, image processing, and others. In particular, the speakers in this session will present existence results obtained through variational methods as well as nonvariational techniques. Several results will concern equations that are either the Euler\u2013Lagrange equations (in the stationary elliptic case) or the gradient flows (in the evolutive parabolic case) associated with suitable energy functionals, defined on spaces of functions on bounded or unbounded domains. The equations under consideration will involve several types of differential operators\u2014both linear and nonlinear\u2014such as the Laplacian, the p-Laplacian, double-phase operators, and anisotropic operators (including the Finsler Laplacian and the anisotropic p-Laplacian). Moreover, the equations may contain lower-order terms, which can also be singular or nonlocal. In the stationary case, solutions will be obtained as critical points of appropriate energy functionals (either minima or mountain-pass type critical points), and multiplicity results will also be presented. In both the elliptic and parabolic settings, existence results will additionally be derived by means of approximation methods. Regarding qualitative properties of solutions, the focus will mainly be on regularity, symmetry, monotonicity, and, in the case of evolutive equations, time-decay behavior.<\/span><\/p>\n<p><strong>Speakers:<\/strong><\/p>\n<ul>\n<li><span style=\"color: #000000;\">Gustavo Ferron Madeira, Federal University of S\u00e3o Carlos (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Carlo Mercuri, University of Modena and Reggio Emilia (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Sandra Imaculada Moreira, State University of Maranh\u00e3o (Brazil)<\/span><\/li>\n<li><span style=\"color: #000000;\">Luigi Muglia, University of Calabria (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Antonia Passarelli, University of Naples &#8220;Federico II&#8221; (Italy)<\/span><\/li>\n<li><span style=\"color: #000000;\">Maria Michaela Porzio, Sapienza University of Rome (Italy)<\/span><span style=\"color: #000000;\">\u00a0<\/span><\/li>\n<li><span style=\"color: #000000;\">Mayra Soares, University of Brasilia (Brazil)<\/span><\/li>\n<\/ul>\n<p><strong><span style=\"text-decoration: underline;\">DOWNLOAD HERE:<\/span><\/strong><\/p>\n<p><span style=\"text-decoration: underline;\"><strong><a href=\"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-content\/uploads\/2026\/07\/Book_of_abstracts_SS7.pdf\">Book_of_abstracts_SS7<\/a> <\/strong><\/span><\/p>\n<p><span style=\"text-decoration: underline;\"><strong><a href=\"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-content\/uploads\/2026\/07\/Program_SS7.pdf\">Program_SS7<\/a><\/strong><\/span><\/p>\n<\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":6,"featured_media":0,"parent":210,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1859","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1859","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/comments?post=1859"}],"version-history":[{"count":13,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1859\/revisions"}],"predecessor-version":[{"id":2867,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1859\/revisions\/2867"}],"up":[{"embeddable":true,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/210"}],"wp:attachment":[{"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/media?parent=1859"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}