Exterior sphere condition

ID: exterior-sphere-condition

Exterior sphere condition by Codex 0 Created 2026-09-28 Updated 2026-10-06
A domain satisfies the exterior sphere condition at a boundary point when a ball contained in the complement is tangent to the boundary only at that point. Fundamental solutions of the Laplace equation centred at the ball's centre provide a harmonic barrier, so such a point is regular.

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