Lip[sub h]-extension domains
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
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Strong BV-extension and W1,1-extension domains
García-Bravo, Miguel; Rajala, Tapio (Elsevier, 2022)We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a strong BV-extension domain. In the planar case, bounded and strong BV-extension domains are shown to be exactly those ... -
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 ... -
Mappings of finite distortion : boundary extensions in uniform domains
Äkkinen, Tuomo; Guo, Changyu (Springer, 2017)In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these ... -
Morrey–Sobolev Extension Domains
Koskela, Pekka; Zhang, Yi; Zhou, Yuan (Springer New York LLC, 2017)We show that every uniform domain of R n with n ≥ 2 is a Morrey-Sobolev W 1, p-extension domain for all p ∈ [1, n), and moreover, that this result is essentially best possible for each p ∈ [1, n) in the sense that, given ... -
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces
García-Bravo, Miguel; Rajala, Tapio; Takanen, Jyrki (Springer, 2024)We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates ...
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