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Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers (1504.08197v1)

Published 30 Apr 2015 in math.AP

Abstract: We obtain a sufficient condition for boundary regularity of quasiminimizers of the p-energy integral in terms of a Wiener type sum of power type. The exponent in the sum is independent of the dimension and is explicitly expressed in terms of p and the quasiminimizing constant. We also show by an example that the exponent is sharp in a certain sense.

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