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
Julkaistu sarjassa
Advances in Calculus of VariationsPäivämäärä
2023Oppiaine
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Tekijänoikeudet
© 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.
Julkaisija
Walter de Gruyter GmbHISSN Hae Julkaisufoorumista
1864-8258Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/102284769
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Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiahanke, SALisätietoja rahoituksesta
All authors partially supported by the Academy of Finland, project 314789.Lisenssi
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