Zobrazeno 1 - 10
of 1 404
pro vyhledávání: '"Bravo, Miguel"'
In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincar\'e inequality, we investigate when a given Banach-valued Sobolev function defined on a subset satisfying a measure-density condition is the restriction o
Externí odkaz:
http://arxiv.org/abs/2208.12594
We give a necessary condition for a domain to have a bounded extension operator from $L^{1,p}(\Omega)$ to $L^{1,p}(\mathbb R^n)$ for the range $1 < p < 2$. The condition is given in terms of a power of the distance to the boundary of $\Omega$ integra
Externí odkaz:
http://arxiv.org/abs/2207.00541
Publikováno v:
In Cortex October 2024 179:25-34
Optimisation of the performance of alkali-activated mortars using CDW binders from different sources
Publikováno v:
In Construction and Building Materials 6 September 2024 442
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 of this type.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/2111.01079
Autor:
Caracol, Carolina, Kravchanka, Lena, Bravo, Miguel, de Brito, Jorge, Agrela, Francisco, Rosales, Julia
Publikováno v:
In Journal of Building Engineering 15 November 2024 97
We prove that a bi-Lipschitz image of a planar $BV$-extension domain is also a $BV$-extension domain, and that a bi-Lipschitz image of a planar $W^{1,1}$-extension domain is again a $W^{1,1}$-extension domain.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2106.07330
Autor:
García-Bravo, Miguel, Rajala, Tapio
We show that a bounded domain in a Euclidean space is a $W^{1,1}$-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 $BV$-extension domains
Externí odkaz:
http://arxiv.org/abs/2105.05467
Publikováno v:
In Nonlinear Analysis March 2024 240