Author
Gmeineder, F
Kristensen, J
Journal title
Archive for Rational Mechanics and Analysis
DOI
10.1007/s00205-018-01346-5
Issue
3
Volume
232
Last updated
2023-12-17T22:44:52.13+00:00
Page
1429-1473
Abstract
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.
Symplectic ID
952931
Favourite
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Publication type
Journal Article
Publication date
17 Dec 2018
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