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

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We prove partial regularity with optimal Hölder exponent of vector-valued minimizers u of the quasiconvex variational integral ∫F(x,u,Du)dx under polynomial growth. We employ the indirect method of the bilinear form.

DOI : 10.1051/cocv:2007039
Classification : 35J50, 49N60
Keywords: partial regularity, optimal regularity, minimizer, calculus of variations, quasiconvexity 
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     author = {Hamburger, Christoph},
     title = {Optimal partial regularity of minimizers of quasiconvex variational integrals},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {639--656},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {4},
     year = {2007},
     doi = {10.1051/cocv:2007039},
     mrnumber = {2351395},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007039/}
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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

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