Dear all,
I have recently found the following discussion: Different Measures On R2 regarding different boundary measures on $\mathbb{R}^n $ .
The discussion made me wondering:
Is there any example in the opposite direction?
i.e. an example of a set $A \subseteq \mathbb{R} ^n $ such that $ Leb^+ (A) > H^{n-1} (\partial A) $ ?
Thanks in advance !