Geodesic
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth: the general case
Menita Carozza1 ; Giuseppe Mingione2
1Facoltà di Scienze MM. FF. NN. Università del Sannio Via Port' Arsa 11 82100 Benevento, Italy
2Dipartimento di Matematica Università Via d'Azeglio 85//A 43100 Parma, Italy
Annales Polonici Mathematici, Tome 77 (2001) no. 3, pp. 219-243
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove partial regularity for minimizers of the functional $\int _{{\mit \Omega } }f(x, u(x), Du(x))\, dx$ where the integrand $f(x, u, \xi )$ is quasiconvex with subquadratic growth: $|f(x, u, \xi )| \leq L(1+|\xi |^p) $, $p2$. We also obtain the same results for $\omega $-minimizers.
DOI : 10.4064/ap77-3-3
Keywords: prove partial regularity minimizers functional int mit omega where integrand quasiconvex subquadratic growth leq obtain results omega minimizers

Menita Carozza  1   ; Giuseppe Mingione  2

1 Facoltà di Scienze MM. FF. NN. Università del Sannio Via Port' Arsa 11 82100 Benevento, Italy
2 Dipartimento di Matematica Università Via d'Azeglio 85//A 43100 Parma, Italy 
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Menita Carozza; Giuseppe Mingione. Partial regularity of minimizers of quasiconvex integrals
with subquadratic growth: the general case. Annales Polonici Mathematici, Tome 77 (2001) no. 3, pp. 219-243. doi: 10.4064/ap77-3-3

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