Lebesgue measure and mappings of the Sobolev class $W^{1,n}$

O. Martio

Displaying similar documents to “Lebesgue measure and mappings of the Sobolev class $W^{1, n}$ ”

Regularity of solutions of parabolic equations with coefficients depending on t and parameters

T. Winiarska (1992)

Annales Polonici Mathematici

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The main object of this paper is to study the regularity with respect to the parameter h of solutions of the problem $d u / d t + A_{h} (t) u (t) = f_{h} (t)$ , $u (0) = u_{h}^{0}$ . The continuity of u with respect to both h and t has been considered in [6].

On the Sobolev class $W_{loc}^{1, p}$ and quasiregularity.

Maly, J., Ponomarev, S.P. (2000)

Siberian Mathematical Journal

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On a theorem of P. S. Aleksandrov

Zbigniew Karno (1997)

Colloquium Mathematicae

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Some surjectivity theorems with applications

H. K. Pathak, S. N. Mishra (2013)

Archivum Mathematicum

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In this paper a new class of mappings, known as locally $λ$ -strongly $φ$ -accretive mappings, where $λ$ and $φ$ have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly $φ$ -accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally $λ$ -strongly $φ$ -accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce...

Change of variables formula under minimal assumptions

Piotr Hajłasz (1993)

Colloquium Mathematicae

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In the previous papers concerning the change of variables formula (in the form involving the Banach indicatrix) various assumptions were made about the corresponding transformation (see e.g. [BI], [GR], [F], [RR]). The full treatment of the case of continuous transformation is given in [RR]. In [BI] the transformation was assumed to be continuous, a.e. differentiable and with locally integrable Jacobian. In this paper we show that none of these assumptions is necessary (Theorem 2). We...

Removable singularities for Hölder continuous quasiregular mappings in the plane.

Clop, Albert (2007)

Annales Academiae Scientiarum Fennicae. Mathematica

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Preservation and reflection of properties acc and hacc

Maddalena Bonanzinga (1996)

Commentationes Mathematicae Universitatis Carolinae

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The aim of the paper is to study the preservation and the reflection of acc and hacc spaces under various kinds of mappings. In particular, we show that acc and hacc are not preserved by perfect mappings and that acc is not reflected by closed (nor perfect) mappings while hacc is reflected by perfect mappings.

Sheaves and $𝔗 a$ -bicompactifications of mappings.

Ulyanov, V.M. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On mappings preserving a family of star bodies.

Sójka, Grzegorz (2003)

Beiträge zur Algebra und Geometrie

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Displaying similar documents to “Lebesgue measure and mappings of the Sobolev class W 1 , n ”

Displaying similar documents to “Lebesgue measure and mappings of the Sobolev class $W^{1, n}$ ”