论文标题
关于Banach空间有价值的Finsler $γ$ -laplacian的可区分性的注释
A note on improved differentiability for the Banach-space valued Finsler $γ$-Laplacian
论文作者
论文摘要
我们获得了在$σ$ -Convex,$τ$ -Smooth Banach Space上定义的Banach Space有价值的Finsler $γ$ -laplacian的解决方案的分数可不同。我们认为的运算符是非线性的,椭圆形非常简单。我们的结果已经在$ \ Mathbb r $值设置中。
We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler $γ$-Laplacian defined on a $σ$-convex, $τ$-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our results are new already in the $\mathbb R$-valued setting.