{"id":1508,"date":"2023-05-23T13:27:42","date_gmt":"2023-05-23T05:27:42","guid":{"rendered":"https:\/\/blog.vanabel.cn\/?p=1508"},"modified":"2023-05-23T13:27:42","modified_gmt":"2023-05-23T05:27:42","slug":"inequalities-for-eigenvalues-of-operators-in-divergence-form-on-riemannian-manifolds-isometrically-immersed-in-euclidean-space","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1508","title":{"rendered":"Inequalities for eigenvalues of operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space"},"content":{"rendered":"<p>Authors: Cristiano Silva, Juliana Miranda, Marcio Ara\\&#8217;ujo Filho<br \/>\nCategories: math.DG math.SP<br \/>\nComments: 15 pages<br \/>\n\\\\<br \/>\n In this paper, we compute universal inequalities of eigenvalues of a large<br \/>\nclass of second-order elliptic differential operators in divergence form, that<br \/>\nincludes, e.g., the Laplace and Cheng-Yau operators, on a bounded domain in a<br \/>\ncomplete Riemannian manifolds isometrically immersed in Euclidean space. A key<br \/>\nstep in order to obtain the sequence of our estimates is to get the right<br \/>\nYang-type first inequality. We also prove some inequalities for manifolds<br \/>\nsupporting some special functions and tensors.<br \/>\n\\\\ ( https:\/\/arxiv.org\/abs\/2305.12024 ,  13kb)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Authors: Cristiano Silva, Juliana Miranda, Marcio Ara\\&#038;&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=1508\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">Inequalities for eigenvalues of operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"quote","meta":{"footnotes":""},"categories":[248],"tags":[265,266,261,262,264,260,263],"class_list":["post-1508","post","type-post","status-publish","format-quote","hentry","category-arxiv","tag-chen-yau","tag-divergence","tag-eigenvalue","tag-inequality","tag-laplacian","tag-riemannian","tag-yang-type-first-inequality","post_format-post-format-quote","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1508"}],"version-history":[{"count":1,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1508\/revisions"}],"predecessor-version":[{"id":1509,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1508\/revisions\/1509"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}