Partial regularity of minimizers of quasiconvex integrals with subquadratic growth: the general case
Menita Carozza ; Giuseppe Mingione
Annales Polonici Mathematici, Tome 77 (2001), p. 219-243 / Harvested from The Polish Digital Mathematics Library
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We prove partial regularity for minimizers of the functional ∫Ωf(x,u(x),Du(x))dx where the integrand f(x,u,ξ) is quasiconvex with subquadratic growth: |f(x,u,ξ)|≤L(1+|ξ|p), p < 2. We also obtain the same results for ω-minimizers.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:280357 
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     year = {2001},
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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) pp. 219-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-3/