Optimal partial regularity of minimizers of quasiconvex variational integrals

Hamburger, Christoph

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 $\int F(x,u,Du)\mathrm{d}x$ under polynomial growth. We employ the indirect method of the bilinear form.

Classification : 35J50, 49N60
Mots clés : partial regularity, optimal regularity, minimizer, calculus of variations, quasiconvexity

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