The volume of the boundary of a Sobolev (p,q)-extension domain
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Koskela, P., Ukhlov, A., & Zhu, Z. (2022). The volume of the boundary of a Sobolev (p,q)-extension domain. Journal of Functional Analysis, 283(12), Article 109703. https://doi.org/10.1016/j.jfa.2022.109703
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Journal of Functional AnalysisDate
2022Discipline
Analyysin ja dynamiikan tutkimuksen huippuyksikköMatematiikkaAnalysis and Dynamics Research (Centre of Excellence)MathematicsAccess restrictions
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© 2022 Elsevier Inc. All rights reserved.
Let n≥2 and $1\leq q
<\fz$. We prove that if Ω⊂Rn is a Sobolev (p,q)-extension domain, with additional capacitory restrictions on boundary in the case q≤n−1, n>2, then |∂Ω|=0. In the case 1≤q0.
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0022-1236Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/156503106
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Academy Project, AoFAdditional information about funding
The first and third authors have been supported by the Academy of Finland (project No. 323960).License
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