Descrizione
\nMartin Mayer, Scuola Superiore Meridionale, Naples, Italy<\/p>\n
“The prescribed scalar curvature problem in the negative Yamabe case ”<\/p>\n
We will discuss some recent progress
\non the conformally prescribed scalar curvature problem
\nin case of a negative Yamabe invariant,
\nwhich is resolved,
\nif the function K to be prescribed is strictly negative,
\nwhile necessary and sufficient conditions are known,
\nif K is nowhere positive.
\nOn the other hand, if K is sign changing,
\nlittle is known in general beyond smallness assumptions
\non the max(K,0). We adress the latter case variationally,
\nstill in the realm of smallness assumptions,
\nand shed some light on the underlying features of the problem.
\nThe presented techniques do not only allow to recover,
\nwhat is known up to now, in a quite natural way,
\nbut also adds some new existence results.
\nTime permitting, we shall exemplify, what happens,
\nif the smallness assumptions fail.
\nIn collaboration with Chaona Zhu, University Tor Vergata, Rome, Italy.<\/p>\n","protected":false},"author":1,"featured_media":-1,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"tags":[],"event_type":[],"event_type_2":[],"class_list":["post-1771","ajde_events","type-ajde_events","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/1771","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events"}],"about":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/types\/ajde_events"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1771"}],"version-history":[{"count":0,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/1771\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1771"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1771"},{"taxonomy":"event_type","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type&post=1771"},{"taxonomy":"event_type_2","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type_2&post=1771"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}