Sobolev Functions and Mappings on Cuspidal Domains
Julkaistu sarjassa
JYU dissertationsTekijät
Päivämäärä
2020Tekijänoikeudet
© The Author & University of Jyväskylä
Julkaisija
Jyväskylän yliopistoISBN
978-951-39-8234-8ISSN Hae Julkaisufoorumista
2489-9003Julkaisuun sisältyy osajulkaisuja
- Artikkeli I: P. Koskela and Z. Zhu (2020). Product of extension domains is still an extension domain. Indiana Univ. Math. J. 69 No. 1 (2020), 137-150. https://arxiv.org/abs/1809.07071
- Artikkeli II: T. Iwaniec, J. Onninen and Z. Zhu (2020). Creating and Flattening Cusp Singularities by Deformations of Bi-conformal Energy. J. Geom. Anal. DOI: 10.1007/s12220-019-00351-8
- Artikkeli III: T. Iwaniec, J. Onninen and Z. Zhu (2020). Deformations of Bi-conformal Energy and a new Characterization of Quasiconformality. Arch. Rational Mech. Anal. 236 (2020) 1709-1737. https://arxiv.org/abs/1904.03793
- Artikkeli IV: S. Eriksson-Bique, P. Koskela, J. Mal´y and Z. Zhu, Point-wise inequalities for Sobolev functions on outward cuspidal domains. https://arxiv.org/abs/1912.04555
- Artikkeli V: T. Iwaniec, J. Onninen and Z. Zhu, Singularities in Lp- quasidisks. https://arxiv.org/abs/1909.01573
- Artikkeli VI: P. Koskela and Z. Zhu, Sobolev extensions via reflections. https://arxiv.org/abs/1812.09037
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Sobolev homeomorphic extensions onto John domains
Koskela, Pekka; Koski, Aleksis; Onninen, Jani (Elsevier Inc., 2020)Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general targets, this Sobolev variant of the ... -
Approximation by uniform domains in doubling quasiconvex metric spaces
Rajala, Tapio (Springer, 2021)We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains. -
Pointwise inequalities for Sobolev functions on generalized cuspidal domains
Zhu, Zheng (Finnish Mathematical Society, 2022)Olkoon Ω⊂Rn−1 rajoitettu tähtimäinen alue ja Ωψ ulkoneva kärkialue, jonka kanta-alue on Ω. Arvoilla 1< p≤ ∞ osoitamme, että W1,p(Ωψ) = M1,p(Ωψ) jos ja vain jos W1,p(Ω) = M1,p(Ω). -
Bi-Sobolev Extensions
Koski, Aleksis; Onninen, Jani (Springer, 2023)We give a full characterization of circle homeomorphisms which admit a homeomorphic extension to the unit disk with finite bi-Sobolev norm. As a special case, a bi-conformal variant of the famous Beurling–Ahlfors extension ... -
Planar Sobolev extension domains
Zhang, Yi (University of Jyväskylä, 2017)This doctoral thesis deals with geometric characterizations of bounded planar simply connected Sobolev extension domains. It consists of three papers. In the first and third papers we give full geometric characterizations ...
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