Let $\Omega$ be a bounded open subset of $\mathbb{R}^{n}$ and $\alpha<1$. My question is when the integral $$ \int_{\Omega}\frac{dx}{\text{dist}(x,\partial\Omega)^{\alpha}} $$ is finite?
2026-05-17 06:08:11.1778998091
Integral involving distance to the boundary
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