2021/01/23 by Goodrich, Christopher, Scilla, Giovanni, Stroffolini, Bianca
#35J47 #46E35 #49N60 #Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2101.09472
We prove the partial Hölder continuity for minimizers of quasiconvex functionals F(\bf u) \colon =∫Ω f(x,\bf u,D\bf u) dx, where f satisfies a uniform VMO condition with respect to the x-variable and is continuous with respect to \bf u. The growth condition with respect to the gradient variable is assumed a general one.