Uniform regularity results for critical and subcritical surface energies
We establish regularity results for critical points to energies of immersed surfaces depending on the first and the second fundamental form exclusively. These results hold for a large class of intrinsic elliptic Lagrangians which are sub-critical or critical. They are derived using uniform ϵ -regula...
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| Veröffentlicht in: | Calculus of variations and partial differential equations 2019-02, Vol.58 (1), p.1-39, Article 10 |
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| container_title | Calculus of variations and partial differential equations |
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| creator | Bernard, Yann Rivière, Tristan |
| description | We establish regularity results for critical points to energies of immersed surfaces depending on the first and the second fundamental form exclusively. These results hold for a large class of intrinsic elliptic Lagrangians which are sub-critical or critical. They are derived using uniform
ϵ
-regularity estimates which do not degenerate as the Lagrangians approach the critical regime given by the Willmore integrand. |
| doi_str_mv | 10.1007/s00526-018-1457-0 |
| format | Article |
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ϵ
-regularity estimates which do not degenerate as the Lagrangians approach the critical regime given by the Willmore integrand.</description><identifier>ISSN: 0944-2669</identifier><identifier>EISSN: 1432-0835</identifier><identifier>DOI: 10.1007/s00526-018-1457-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Analysis ; Calculus of Variations and Optimal Control; Optimization ; Control ; Mathematical and Computational Physics ; Mathematics ; Mathematics and Statistics ; Regularity ; Systems Theory ; Theoretical</subject><ispartof>Calculus of variations and partial differential equations, 2019-02, Vol.58 (1), p.1-39, Article 10</ispartof><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-854b82c5a4142cd5067ef94a15812d3f454923fe8fb50b865b5cf2fc718a45ba3</citedby><cites>FETCH-LOGICAL-c316t-854b82c5a4142cd5067ef94a15812d3f454923fe8fb50b865b5cf2fc718a45ba3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00526-018-1457-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00526-018-1457-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Bernard, Yann</creatorcontrib><creatorcontrib>Rivière, Tristan</creatorcontrib><title>Uniform regularity results for critical and subcritical surface energies</title><title>Calculus of variations and partial differential equations</title><addtitle>Calc. Var</addtitle><description>We establish regularity results for critical points to energies of immersed surfaces depending on the first and the second fundamental form exclusively. These results hold for a large class of intrinsic elliptic Lagrangians which are sub-critical or critical. They are derived using uniform
ϵ
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ϵ
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| ispartof | Calculus of variations and partial differential equations, 2019-02, Vol.58 (1), p.1-39, Article 10 |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Analysis Calculus of Variations and Optimal Control Optimization Control Mathematical and Computational Physics Mathematics Mathematics and Statistics Regularity Systems Theory Theoretical |
| title | Uniform regularity results for critical and subcritical surface energies |
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