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Dec 22, 2022 at 14:31 vote accept Ali
Dec 22, 2022 at 11:29 history became hot network question
Dec 22, 2022 at 3:35 history edited Ali CC BY-SA 4.0
Clarified notion of fixing the boundary
Dec 22, 2022 at 3:21 answer added Alexandre Eremenko timeline score: 5
Dec 22, 2022 at 0:35 comment added Moishe Kohan You do not even need a smooth boundary or a bounded domain. It suffices to assume that the boundary is not contained in a straight line (assuming that "a domain" means an open connected subset).
Dec 22, 2022 at 0:09 answer added Saúl RM timeline score: 3
Dec 21, 2022 at 23:08 comment added Andreas Blass @DmitryK I assume the OP means the restriction to $\Omega$ of the standard metric of $\mathbb R^2$.
Dec 21, 2022 at 23:02 comment added Dmitrii Korshunov What do you mean by Euclidean metric? If any flat metric, then any diffeomorpism pulls back flat metric to flat metric.
Dec 21, 2022 at 22:53 history asked Ali CC BY-SA 4.0