Interior regularity for strong solutions to a class of fully nonlinear elliptic equations
We obtain local pointwise second derivative estimates for W 2 , p W^{2,p} -strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.
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Veröffentlicht in: | Proceedings of the American Mathematical Society 2023-10, Vol.151 (10), p.4341-4354 |
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container_title | Proceedings of the American Mathematical Society |
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creator | Duncan, Jonah |
description | We obtain local pointwise second derivative estimates for
W
2
,
p
W^{2,p}
-strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry. |
doi_str_mv | 10.1090/proc/16509 |
format | Article |
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W
2
,
p
W^{2,p}
-strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.</description><identifier>ISSN: 0002-9939</identifier><identifier>EISSN: 1088-6826</identifier><identifier>DOI: 10.1090/proc/16509</identifier><language>eng</language><ispartof>Proceedings of the American Mathematical Society, 2023-10, Vol.151 (10), p.4341-4354</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c231t-88140763251452ea5067ae2e83814c62572c0eae756bf791e28f85e880fe36e43</citedby><cites>FETCH-LOGICAL-c231t-88140763251452ea5067ae2e83814c62572c0eae756bf791e28f85e880fe36e43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Duncan, Jonah</creatorcontrib><title>Interior regularity for strong solutions to a class of fully nonlinear elliptic equations</title><title>Proceedings of the American Mathematical Society</title><description>We obtain local pointwise second derivative estimates for
W
2
,
p
W^{2,p}
-strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.</description><issn>0002-9939</issn><issn>1088-6826</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNotkD1LBDEURYMouK42_oLUwrgvySSTlLL4sbBgo4XVEMPLEomTMckU8--dXa0uh8u9xSHklsE9AwObMSe3YUqCOSMrBlo3SnN1TlYAwBtjhLkkV6V8LchM263Ix26omEPKNONhijaHOlO_YKk5DQdaUpxqSEOhNVFLXbSl0OSpn2Kc6ZCGGAa0mWKMYazBUfyZ7GlwTS68jQVv_nNN3p8e37Yvzf71ebd92DeOC1YbrVkLnRJcslZytBJUZ5GjFkvhFJcdd4AWO6k-fWcYcu21RK3Bo1DYijW5-_t1OZWS0fdjDt82zz2D_iilP0rpT1LELy68VmY</recordid><startdate>202310</startdate><enddate>202310</enddate><creator>Duncan, Jonah</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>202310</creationdate><title>Interior regularity for strong solutions to a class of fully nonlinear elliptic equations</title><author>Duncan, Jonah</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c231t-88140763251452ea5067ae2e83814c62572c0eae756bf791e28f85e880fe36e43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Duncan, Jonah</creatorcontrib><collection>CrossRef</collection><jtitle>Proceedings of the American Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Duncan, Jonah</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interior regularity for strong solutions to a class of fully nonlinear elliptic equations</atitle><jtitle>Proceedings of the American Mathematical Society</jtitle><date>2023-10</date><risdate>2023</risdate><volume>151</volume><issue>10</issue><spage>4341</spage><epage>4354</epage><pages>4341-4354</pages><issn>0002-9939</issn><eissn>1088-6826</eissn><abstract>We obtain local pointwise second derivative estimates for
W
2
,
p
W^{2,p}
-strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.</abstract><doi>10.1090/proc/16509</doi><tpages>14</tpages></addata></record> |
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identifier | ISSN: 0002-9939 |
ispartof | Proceedings of the American Mathematical Society, 2023-10, Vol.151 (10), p.4341-4354 |
issn | 0002-9939 1088-6826 |
language | eng |
recordid | cdi_crossref_primary_10_1090_proc_16509 |
source | American Mathematical Society Publications |
title | Interior regularity for strong solutions to a class of fully nonlinear elliptic equations |
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