Partial regularity for BV minimizers
We establish an ε -regularity result for the derivative of a map of bounded variation that minimizes a strongly quasiconvex variational integral of linear growth, and, as a consequence, the partial regularity of such BV minimizers. This result extends the regularity theory for minimizers of quasic...
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| Format: | Journal article |
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Springer
2018
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| _version_ | 1826279266106474496 |
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| author | Gmeineder, F Kristensen, J |
| author_facet | Gmeineder, F Kristensen, J |
| author_sort | Gmeineder, F |
| collection | OXFORD |
| description | We establish an ε -regularity result for the derivative of a map of bounded variation that minimizes a strongly quasiconvex variational integral of linear growth, and, as a consequence, the partial regularity of such BV minimizers. This result extends the regularity theory for minimizers of quasiconvex integrals on Sobolev spaces to the context of maps of bounded variation. Previous partial regularity results for BV minimizers in the linear growth set-up were confined to the convex situation. |
| first_indexed | 2024-03-06T23:56:10Z |
| format | Journal article |
| id | oxford-uuid:744b2fe3-a749-4288-a71e-8e3703c0eeac |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:56:10Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:744b2fe3-a749-4288-a71e-8e3703c0eeac2022-03-26T20:01:45ZPartial regularity for BV minimizersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:744b2fe3-a749-4288-a71e-8e3703c0eeacSymplectic Elements at OxfordSpringer2018Gmeineder, FKristensen, JWe establish an ε -regularity result for the derivative of a map of bounded variation that minimizes a strongly quasiconvex variational integral of linear growth, and, as a consequence, the partial regularity of such BV minimizers. This result extends the regularity theory for minimizers of quasiconvex integrals on Sobolev spaces to the context of maps of bounded variation. Previous partial regularity results for BV minimizers in the linear growth set-up were confined to the convex situation. |
| spellingShingle | Gmeineder, F Kristensen, J Partial regularity for BV minimizers |
| title | Partial regularity for BV minimizers |
| title_full | Partial regularity for BV minimizers |
| title_fullStr | Partial regularity for BV minimizers |
| title_full_unstemmed | Partial regularity for BV minimizers |
| title_short | Partial regularity for BV minimizers |
| title_sort | partial regularity for bv minimizers |
| work_keys_str_mv | AT gmeinederf partialregularityforbvminimizers AT kristensenj partialregularityforbvminimizers |