DOIAbstract
AbstractWe prove that an extension property holds for the space Hdiv(Ω), where Ω is a domain of a certain type. The property is similar to the uniform extension property, which holds for Sobolev spaces of order m (m ≥ 1 is an integer)
AbstractWe prove that an extension property holds for the space Hdiv(Ω), where Ω is a domain of a certain type. The property is similar to the uniform extension property, which holds for Sobolev spaces of order m (m ≥ 1 is an integer)
We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a...
summary:Extensions from $H^1(\Omega _P)$ into $H^1(\Omega )$ (where $\Omega _P\subset \Omega $) are...
AbstractThis article is devoted to the construction of a family of universal extension operators for...
AbstractWe prove that an extension property holds for the space Hdiv(Ω), where Ω is a domain of a ce...
In terms of application, no area of mathematics is more widely used than partial differential equati...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...
AbstractWe describe traces of Sobolev functionsu∈W1, p(Rn), 1<p⩽∞, on certain subsets of Rnin terms ...
Motivated by works on extension sets in standard domains, we introduce a notion of the Carathéodory ...
In this paper, we establish the existence and continuity of a trace operator for functions of the So...
We prove that Burenkov\u2019s extension operator preserves Sobolev spaces built on generalMorrey spa...
AbstractThe extension problem is to determine the extendability of a mapping defined on a closed sub...
AbstractA topological space X is said to have property D∗c, where c ⩾ 1 is a real number, if for eac...
AbstractWe describe a class of Sobolev Wpk-extension domains Ω⊂Rn determined by a certain inner subh...
AbstractWe consider the problem of constructing extensions Lkp(Ω)→Lkp(Rn), where Lkp is the Sobolev ...
AbstractLet T be an intermediate over the field K. We say that K has the Extension Property if every...
We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a...
summary:Extensions from $H^1(\Omega _P)$ into $H^1(\Omega )$ (where $\Omega _P\subset \Omega $) are...
AbstractThis article is devoted to the construction of a family of universal extension operators for...
AbstractWe prove that an extension property holds for the space Hdiv(Ω), where Ω is a domain of a ce...
In terms of application, no area of mathematics is more widely used than partial differential equati...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...
AbstractWe describe traces of Sobolev functionsu∈W1, p(Rn), 1<p⩽∞, on certain subsets of Rnin terms ...
Motivated by works on extension sets in standard domains, we introduce a notion of the Carathéodory ...
In this paper, we establish the existence and continuity of a trace operator for functions of the So...
We prove that Burenkov\u2019s extension operator preserves Sobolev spaces built on generalMorrey spa...
AbstractThe extension problem is to determine the extendability of a mapping defined on a closed sub...
AbstractA topological space X is said to have property D∗c, where c ⩾ 1 is a real number, if for eac...
AbstractWe describe a class of Sobolev Wpk-extension domains Ω⊂Rn determined by a certain inner subh...
AbstractWe consider the problem of constructing extensions Lkp(Ω)→Lkp(Rn), where Lkp is the Sobolev ...
AbstractLet T be an intermediate over the field K. We say that K has the Extension Property if every...
We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a...
summary:Extensions from $H^1(\Omega _P)$ into $H^1(\Omega )$ (where $\Omega _P\subset \Omega $) are...
AbstractThis article is devoted to the construction of a family of universal extension operators for...
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