Sobolev Extension on Lp-quasidisks
Zhu, Z. (2023). Sobolev Extension on Lp-quasidisks. Potential Analysis, 58(3), 529-544. https://doi.org/10.1007/s11118-021-09948-7
Julkaistu sarjassa
Potential AnalysisTekijät
Päivämäärä
2023Tekijänoikeudet
© The Author(s) 2021
In this paper, we study the Sobolev extension property of Lp-quasidisks which are the generalizations of classical quasidisks. After that, we also find some applications of this property.
Julkaisija
Springer Science and Business Media LLCISSN Hae Julkaisufoorumista
0926-2601Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/101535159
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Lisätietoja rahoituksesta
Open access funding provided by University of Jyväskylä (JYU).Lisenssi
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
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 ... -
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 ... -
Singularities in L^p-quasidisks
Iwaniec, Tadeusz; Onninen, Jani; Zhu, Zheng (Suomen matemaattinen yhdistys ry, 2021)We study planar domains with exemplary boundary singularities of the form of cusps. A natural question is how much elastic energy is needed to flatten these cusps; that is, to remove singularities. We give, in a connection ... -
Sobolev homeomorphic extensions
Koski, Aleksis; Onninen, Jani (European Mathematical Society, 2021)Let X and Y be ℓ-connected Jordan domains, ℓ∈N, with rectifiable boundaries in the complex plane. We prove that any boundary homeomorphism φ:∂X→∂Y admits a Sobolev homeomorphic extension h:X¯→Y¯ in W1,1(X,C). If instead X ... -
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 ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.