Abstract
We prove partial regularity for minimizers of quasiconvex integrals of the form\(\int\limits_\Omega {F\left( {Du(x)} \right)} \) dx where the integral F(ξ) has subquadratic growth, ie\(\left| {F(\xi )} \right| \le L(1 + |\xi |^p )\).
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Research supported by MURST, Gruppo Nazionale 40%.
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Carozza, M., Fusco, N. & Mingione, G. Partial regularity of minimizers of quasiconvex integrals with subquadratic growth. Annali di Matematica pura ed applicata 175, 141–164 (1998). https://doi.org/10.1007/BF01783679
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DOI: https://doi.org/10.1007/BF01783679