论文标题
$ω$ - 矩阵功能的部分规律性
Partial regularity for $ω$-minimizers of quasiconvex functionals
论文作者
论文摘要
我们建立了$ω$ - 米数的部分规律性，即功率增长功能的功能。 $ BV $ $ $ω$ - 米数的一阶部分规律性结果是在$ω$的DINI-Type条件下在线性增长情况下获得的。仅假设$ω$在原点附近，我们通过考虑归一化的过量来显示在次级案例中的部分Hölder连续性。
We establish partial regularity for the $ω$-minimizers of quasiconvex functionals of power growth. A first-order partial regularity result of $BV$ $ω$-minimizers is obtained in the linear growth case under a Dini-type condition on $ω$. Only assuming the smallness of $ω$ near the origin, we show partial Hölder continuity in the subquadratic case by considering a normalised excess.
