Dimension estimates for the boundary of planar Sobolev extension domains
Lučić, D., Rajala, T., & Takanen, J. (2023). Dimension estimates for the boundary of planar Sobolev extension domains. Advances in Calculus of Variations, 16(2), 517-528. https://doi.org/10.1515/acv-2021-0042
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Advances in Calculus of VariationsDate
2023Discipline
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Copyright
© 2023 De Gruyter
We prove an asymptotically sharp dimension upper-bound for the boundary of bounded simply-connected planar Sobolev W1,pW1,p -extension domains via the weak mean porosity of the boundary. The sharpness of our estimate is shown by examples.
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Walter de Gruyter GmbHISSN Search the Publication Forum
1864-8258Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/102284769
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Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
All authors partially supported by the Academy of Finland, project 314789.License
Except where otherwise noted, this item's license is described as In Copyright