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Let H1 be the Perron-Wiener-Brelot solution of the Dirichlet problem for a resolutive functionf on the boundary aga of a bounded domain 92 in En. A point y of aga will be called strongly regular if Hf(x) -+ f (y) (x -+ y) whenever f is resolutive and continuous at y. Necessary and sufficient conditions for strong regularity are given.

A strong type of regularity for the 𝑃𝑊𝐵 solution of the Dirichlet problem