Abstract
We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type.
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The authors thank Panu Lahti for valuable comments on the earlier version of this paper.
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Open Access funding provided by University of Jyväskylä (JYU). The authors of this manuscript have received financial support from the Academy of Finland, grant no. 314789.
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García-Bravo, M., Rajala, T. & Takanen, J. Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces. Potential Anal 60, 1249–1270 (2024). https://doi.org/10.1007/s11118-023-10086-5
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DOI: https://doi.org/10.1007/s11118-023-10086-5