Quantified Legendreness and the regularity of minima
<p>We introduce a new quantification of nonuniform ellipticity in variational problems via convex duality, and prove higher differentiability and 2<em>d</em>-smoothness results for vector valued minimizers of possibly degenerate functionals. Our framework covers convex, anisotropic...
| Main Authors: | , , |
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| 格式: | Journal article |
| 语言: | English |
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Springer
2024
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| _version_ | 1826314391129161728 |
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| author | De Filippis, C Koch, L Kristensen, J |
| author_facet | De Filippis, C Koch, L Kristensen, J |
| author_sort | De Filippis, C |
| collection | OXFORD |
| description | <p>We introduce a new quantification of nonuniform ellipticity in variational problems via convex duality, and prove higher differentiability and 2<em>d</em>-smoothness results for vector valued minimizers of possibly degenerate functionals. Our framework covers convex, anisotropic polynomials as prototypical model examples—in particular, we improve in an essentially optimal fashion Marcellini’s original results (Marcellini in Arch Rat Mech Anal 105:267–284, 1989).</p> |
| first_indexed | 2024-09-25T04:33:25Z |
| format | Journal article |
| id | oxford-uuid:64fd6cc4-6449-4e7d-b38d-2f8d19edfa2b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:33:25Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:64fd6cc4-6449-4e7d-b38d-2f8d19edfa2b2024-09-05T10:59:19ZQuantified Legendreness and the regularity of minimaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:64fd6cc4-6449-4e7d-b38d-2f8d19edfa2bEnglishSymplectic ElementsSpringer2024De Filippis, CKoch, LKristensen, J<p>We introduce a new quantification of nonuniform ellipticity in variational problems via convex duality, and prove higher differentiability and 2<em>d</em>-smoothness results for vector valued minimizers of possibly degenerate functionals. Our framework covers convex, anisotropic polynomials as prototypical model examples—in particular, we improve in an essentially optimal fashion Marcellini’s original results (Marcellini in Arch Rat Mech Anal 105:267–284, 1989).</p> |
| spellingShingle | De Filippis, C Koch, L Kristensen, J Quantified Legendreness and the regularity of minima |
| title | Quantified Legendreness and the regularity of minima |
| title_full | Quantified Legendreness and the regularity of minima |
| title_fullStr | Quantified Legendreness and the regularity of minima |
| title_full_unstemmed | Quantified Legendreness and the regularity of minima |
| title_short | Quantified Legendreness and the regularity of minima |
| title_sort | quantified legendreness and the regularity of minima |
| work_keys_str_mv | AT defilippisc quantifiedlegendrenessandtheregularityofminima AT kochl quantifiedlegendrenessandtheregularityofminima AT kristensenj quantifiedlegendrenessandtheregularityofminima |