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Izvestiya: Mathematics, 2008, Volume 72, Issue 5, Pages 977–984
DOI: https://doi.org/10.1070/IM2008v072n05ABEH002425 (Mi im2675) 		 
This article is cited in 27 scientific papers (total in 27 papers)

ACL and differentiability of a generalization of quasi-conformal maps

R. R. Salimov

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (223 kB) Citations (27)
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DOI: https://doi.org/10.1070/IM2008v072n05ABEH002425
Abstract: It is established that $Q$-homeomorphisms (in the sense of O. Martio) defined in $\mathbb{R}^n$, $n\geqslant2$, are absolutely continuous on lines. Furthermore, they belong to the Sobolev class $W_{\mathrm{loc}}^{1,1}$ and are differentiable almost everywhere for $Q\in L^{1}_{\mathrm{loc}}$.
Received: 14.06.2007
Revised: 04.12.2007
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2008, Volume 72, Issue 5, Pages 141–148
DOI: https://doi.org/10.4213/im2675
Bibliographic databases:
UDC: 517.5
MSC: 31B15, 30C65, 30C75, 30E25, 46E35
Language: English
Original paper language: Russian
Citation: R. R. Salimov, “ACL and differentiability of a generalization of quasi-conformal maps”, Izv. RAN. Ser. Mat., 72:5 (2008), 141–148; Izv. Math., 72:5 (2008), 977–984
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v72/i5/p141
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:613
    Russian version PDF:172
    English version PDF:7
    References:54
    First page:11
     
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