Geometric Hardy inequalities via integration on flows
We introduce a geometric approach of integral curves for functional inequalities involving directional derivatives in the general context of differentiable manifolds that are equipped with a volume form. We focus on Hardy-type inequalities and the explicit optimal Hardy potentials that are induced b...
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| creator | Paschalis, Miltiadis |
| description | We introduce a geometric approach of integral curves for functional
inequalities involving directional derivatives in the general context of
differentiable manifolds that are equipped with a volume form. We focus on
Hardy-type inequalities and the explicit optimal Hardy potentials that are
induced by this method. We then apply the method to retrieve some known
inequalities and establish some new ones. |
| doi_str_mv | 10.48550/arxiv.2106.01701 |
| format | Article |
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inequalities involving directional derivatives in the general context of
differentiable manifolds that are equipped with a volume form. We focus on
Hardy-type inequalities and the explicit optimal Hardy potentials that are
induced by this method. We then apply the method to retrieve some known
inequalities and establish some new ones.</description><identifier>DOI: 10.48550/arxiv.2106.01701</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2021-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2106.01701$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2106.01701$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Paschalis, Miltiadis</creatorcontrib><title>Geometric Hardy inequalities via integration on flows</title><description>We introduce a geometric approach of integral curves for functional
inequalities involving directional derivatives in the general context of
differentiable manifolds that are equipped with a volume form. We focus on
Hardy-type inequalities and the explicit optimal Hardy potentials that are
induced by this method. We then apply the method to retrieve some known
inequalities and establish some new ones.</description><subject>Mathematics - Analysis of PDEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjssKwjAURLNxIeoHuLI_0JrbJE27FPEFghv35Sa5lUC1mtbX3_uEgYHhMBzGxsATmSvFpxge_pakwLOEg-bQZ2pFzZG64G20xuCekT_R5Yq17zy10c3je-joELDzzSl6p6qbeztkvQrrlkb_HrD9crGfr-PtbrWZz7YxZhpimQtboBECCpOCJLSktXVZnkqpUIPOUsOrD8FdIa0jLQBEYR0aVwmjxIBNfrdf7_Ic_BHDs_z4l19_8QLji0BE</recordid><startdate>20210603</startdate><enddate>20210603</enddate><creator>Paschalis, Miltiadis</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210603</creationdate><title>Geometric Hardy inequalities via integration on flows</title><author>Paschalis, Miltiadis</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-483c9ab3319b214eace77cd682445a71762b0f9ab30d94cde731139cdabdf3b53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Analysis of PDEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Paschalis, Miltiadis</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Paschalis, Miltiadis</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Geometric Hardy inequalities via integration on flows</atitle><date>2021-06-03</date><risdate>2021</risdate><abstract>We introduce a geometric approach of integral curves for functional
inequalities involving directional derivatives in the general context of
differentiable manifolds that are equipped with a volume form. We focus on
Hardy-type inequalities and the explicit optimal Hardy potentials that are
induced by this method. We then apply the method to retrieve some known
inequalities and establish some new ones.</abstract><doi>10.48550/arxiv.2106.01701</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Geometric Hardy inequalities via integration on flows |
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