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arXiv · 1504.08197

Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers

Jana Björn
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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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Jana Björn. 2015-04-30. Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers. https://doi.org/10.1016/j.aim.2016.06.024

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