We prove the partial Hölder continuity for minimizers of quasiconvex functionals F(u):=∫Ωf(x,u,Du)dx, where f satisfies a uniform VMO condition with respect to the x-variable and is continuous with respect to u. The growth condition with respect to the gradient variable is assumed a general one.
Partial Regularity for Minimizers of Discontinuous Quasiconvex Integrals with general growth / Goodrich, C.; Scilla, G.; Stroffolini, B.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 152:5(2022), pp. 1191-1232. [10.1017/prm.2021.53]
Partial Regularity for Minimizers of Discontinuous Quasiconvex Integrals with general growth
Scilla G.;Stroffolini B.
2022
Abstract
We prove the partial Hölder continuity for minimizers of quasiconvex functionals F(u):=∫Ωf(x,u,Du)dx, where f satisfies a uniform VMO condition with respect to the x-variable and is continuous with respect to u. The growth condition with respect to the gradient variable is assumed a general one.File in questo prodotto:
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