Publikation: Partial Regularity for BV Minimizers
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2019
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Kristensen, Jan
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Archive for Rational Mechanics and Analysis. Springer. 2019, 232(3), pp. 1429-1473. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-018-01346-5
Zusammenfassung
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.
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GMEINEDER, Franz, Jan KRISTENSEN, 2019. Partial Regularity for BV Minimizers. In: Archive for Rational Mechanics and Analysis. Springer. 2019, 232(3), pp. 1429-1473. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-018-01346-5BibTex
@article{Gmeineder2019Parti-53896,
year={2019},
doi={10.1007/s00205-018-01346-5},
title={Partial Regularity for BV Minimizers},
number={3},
volume={232},
issn={0003-9527},
journal={Archive for Rational Mechanics and Analysis},
pages={1429--1473},
author={Gmeineder, Franz and Kristensen, Jan}
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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