{"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":"2026-05-21T12:19:09","modified_gmt":"2026-05-21T10:19:09","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 – Recent Developments in Nonlinear Partial Differential Equations"},"content":{"rendered":"

Special Session 7<\/span><\/h1>\n

Recent Developments in Nonlinear Partial Differential Equations<\/span><\/h2>\n

Organizers: <\/strong><\/span><\/p>\n

    \n
  • Giuseppe Riey (University of Calabria, Italy),<\/span><\/li>\n
  • Liliane de Almeida Maia (University of Brasilia, Brazil),<\/span><\/li>\n
  • Riccardo Molle (University of Rome, “Tor Vergata”, Italy).<\/span><\/li>\n<\/ul>\n

    MSC codes:<\/strong> 35J60<\/span><\/p>\n

    Description:<\/strong> <\/span><\/p>\n

    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

    Speakers:<\/strong><\/p>\n

      \n
    • Danilo Gregorin Afonso, University of Urbino (Italy)<\/span><\/li>\n
    • Claudianor Alves, Federal University of Campina Grande (Brazil)<\/span><\/li>\n
    • Sandra Imaculada, State University of Maranh\u00e3o (Brazil)<\/span><\/li>\n
    • Gustavo Madeira, Federal University of S\u00e3o Carlos (Brazil)<\/span><\/li>\n
    • Ederson Moreira dos Santos, USP ICMC S\u00e3o Carlos (Brazil)<\/span><\/li>\n
    • Vitaly Moroz, University of Swansea (United Kingdom)<\/span><\/li>\n
    • Luigi Muglia, University of Calabria (Italy)<\/span><\/li>\n
    • Maria Michaela Porzio, Sapienza University of Rome (Italy)<\/span><\/li>\n
    • Gaetano Siciliano, University of Bari (Italy)<\/span><\/li>\n
    • Mayra Soares, University of Brasilia (Brazil)<\/span><\/li>\n<\/ul>\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":5,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1859\/revisions"}],"predecessor-version":[{"id":2367,"href":"https:\/\/umi.dm.unibo.it\/jm-ita-bra-2026\/wp-json\/wp\/v2\/pages\/1859\/revisions\/2367"}],"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}]}}