论文标题
在加权欧几里得空间和应用上的上梯度的表征
Characterisation of upper gradients on the weighted Euclidean space and applications
论文作者
论文摘要
在配备有任意ra量的欧几里得空间的背景下，我们证明了文献中存在的几种不同sobolev空间概念之间的等效性，我们表征了所有Lipschitz函数的最小弱上梯度。
In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.
