Optimal partial regularity of minimizers of quasiconvex variational integrals
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 4, pp. 639-656.

We prove partial regularity with optimal Hölder exponent of vector-valued minimizers $u$ of the quasiconvex variational integral $\int F\left(x,u,Du\right)\phantom{\rule{0.166667em}{0ex}}\mathrm{d}x$ under polynomial growth. We employ the indirect method of the bilinear form.

DOI : https://doi.org/10.1051/cocv:2007039
Classification : 35J50,  49N60
Mots clés : partial regularity, optimal regularity, minimizer, calculus of variations, quasiconvexity
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title = {Optimal partial regularity of minimizers of quasiconvex variational integrals},
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Hamburger, Christoph. Optimal partial regularity of minimizers of quasiconvex variational integrals. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 4, pp. 639-656. doi : 10.1051/cocv:2007039. http://www.numdam.org/articles/10.1051/cocv:2007039/

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