We prove the partial Holder continuity on boundary points for minimizers of quasiconvex non-degenerate functionals where the integrand f(x,u, Du) satisfies a uniform VMO condition with respect to the x-variable, is continuous with respect to u and has a general growth with respect to the gradient variable.
Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth / Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 21:12(2022), pp. 4173-4214. [10.3934/cpaa.2022140]
Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Scilla, Giovanni;Stroffolini, Bianca
2022
Abstract
We prove the partial Holder continuity on boundary points for minimizers of quasiconvex non-degenerate functionals where the integrand f(x,u, Du) satisfies a uniform VMO condition with respect to the x-variable, is continuous with respect to u and has a general growth with respect to the gradient variable.File in questo prodotto:
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