We prove the partial Hölder continuity for minimizers of quasiconvex functionals 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.;
2022

Abstract

We prove the partial Hölder continuity for minimizers of quasiconvex functionals 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.
2022
general growth; Morrey estimates; partial regularity; VMO condition
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1598945
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