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On the wiener type regularity of a boundary point for the polyharmonic operator
Authors:VG Maz'ya
Abstract:It is shown that the Wiener regularity of a boundary point with respect to the m-harmonic operator is a local property for the space dimensions n=2m,2m+1,2m+2 with m > 2 and n = 4,5,6,7 with m = 2. An estimate for the continuity modulus of the solution formulated in terms of the Wiener type m-capacitary integral is obtained for the same n and m.
Keywords:Wiener regularity  elliptic operators  polyharmonic operator  capacity
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