Timeline for Is a continuum in the plane regular for the Dirichlet problem at all points?
Current License: CC BY-SA 4.0
4 events
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Sep 12 at 12:26 | comment | added | Alexandre Eremenko | In the case when there are several complementary components, you pick one of them. Then the statement is that the boundary of this component is regular. | |
Sep 12 at 1:17 | comment | added | user528012 | Well, the continuum could be a circle so that there are two components, but in essence you are right, I should have added "... of the unbounded component of the complement". I was looking for a proof without using simple connectedness (I am interested in finite union of continua), but if it works for one, I know how it works for many by simple estimate. Thanks! | |
Sep 12 at 1:14 | vote | accept | CommunityBot | ||
Sep 12 at 1:03 | history | answered | Alexandre Eremenko | CC BY-SA 4.0 |