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Partial regularity of minimizers of quasiconvex integrals with subquadratic growth

Annali di Matematica Pura ed Applicata (1998) 175(1) 141-164
DOI: 10.1007/BF01783679
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Abstract

We prove partial regularity for minimizers of quasiconvex integrals of the form F(Du(x))dx where the integrand F(ξ) has subquadratic growth, i.e. |F(ξ,)|≤L(1 + |ξ|p), with 1

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Carozza, M., Fusco, N., & Mingione, G. (1998). Partial regularity of minimizers of quasiconvex integrals with subquadratic growth. Annali Di Matematica Pura Ed Applicata, 175(1), 141–164. https://doi.org/10.1007/BF01783679

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