We give sharp conformal conditions for the dfferentiability in the Sobolev space W1, n-1 loc (Ω,Rn). Furthermore, we show that the space W1, n-1 loc (Ω,Rn) can be considered as the borderline space for some capacitary inequalities.peerReviewe
Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifol...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: ...
We prove that a variant of the Hencl’s notion of AC^n λ-mapping (see [S. Hencl, On the notions of ab...
Let $p\geq n-1$ and suppose that $f:\Omega\to{\mathsf R}^n$ is a homeomorphism in the Sobolev space ...
We show how a strong capacitary inequality can be used to give a decomposition of any function in th...
We study the properties of Sobolev functions and mappings, especially we study the violation of some...
AbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn...
[eng] The first part of the thesis is devoted to the analysis on a capacity space, with capacities a...
We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
We introduce a generalized version of the local Lipschitz number $\textrm{lip}\,u$, and show that it...
In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobol...
The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems...
Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifol...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: ...
We prove that a variant of the Hencl’s notion of AC^n λ-mapping (see [S. Hencl, On the notions of ab...
Let $p\geq n-1$ and suppose that $f:\Omega\to{\mathsf R}^n$ is a homeomorphism in the Sobolev space ...
We show how a strong capacitary inequality can be used to give a decomposition of any function in th...
We study the properties of Sobolev functions and mappings, especially we study the violation of some...
AbstractThe classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn...
[eng] The first part of the thesis is devoted to the analysis on a capacity space, with capacities a...
We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
We introduce a generalized version of the local Lipschitz number $\textrm{lip}\,u$, and show that it...
In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobol...
The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems...
Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifol...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: ...
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