It is well known that on bounded domain, weak and strong maximum principle works fine. However, I'm wondering if is there some version (with more hypothesis maybe) of this result for elliptical operator in $\mathbb{R}^n$, such that, restricted to smooth bounded domains is uniformly elliptic.
2026-02-23 12:02:39.1771848159
A maximum principle for elliptical operator in $\mathbb{R}^N$
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