Abstract:
We prove partial regularity of minimizers of some polyconvex functionals. In particular our results include models such as ∫Ω a(x,u)(|Du|2+| det Du|2), where a is a bounded Hölder continuous function, such that a(x,u)≥c for some positive constant c.
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Received: 2 January 2001 / Revised version: 30 August 2001
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Guidorzi, M. Partial regularity in non-linear elasticity. manuscripta math. 107, 25–41 (2002). https://doi.org/10.1007/s002290100221
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DOI: https://doi.org/10.1007/s002290100221