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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 81, Issue 1, Pages 229–234
DOI: https://doi.org/10.1070/SM1995v081n01ABEH003622
(Mi sm881)
 

This article is cited in 5 scientific papers (total in 5 papers)

On removable singular sets for quasilinear elliptic equations

M. V. Tuvaev
References:
Abstract: For equations of the form
$$ \operatorname{div}(|\nabla u|^{p-2}\nabla u) =\alpha|u|^{\beta_1}|\nabla u|^{\beta_2}\operatorname{sgn}u,\qquad x\in\Omega\subset\mathbb{R}^n, $$
in the case $1<p<n$, $\beta_1>0$, $0\leqslant \beta_2\leqslant p$, $\beta_1+\beta_2>p-1$, $\alpha>0$, sufficient conditions are given for removability of singular sets of dimension $\alpha$. These conditions are nearly necessary, and are given by the formula
$$ 0\leqslant \alpha <n-\frac{p\beta_1+\beta_2}{\beta_1+\beta_2+1-p}. $$
Received: 09.03.1992 and 25.01.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 2, Pages 107–114
Bibliographic databases:
UDC: 517.9
MSC: 35J60
Language: English
Original paper language: Russian
Citation: M. V. Tuvaev, “On removable singular sets for quasilinear elliptic equations”, Mat. Sb., 185:2 (1994), 107–114; Russian Acad. Sci. Sb. Math., 81:1 (1995), 229–234
Citation in format AMSBIB
\Bibitem{Tuv94}
\by M.~V.~Tuvaev
\paper On removable singular sets for quasilinear elliptic equations
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 2
\pages 107--114
\mathnet{http://mi.mathnet.ru/sm881}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1264776}
\zmath{https://zbmath.org/?q=an:0835.35047}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 81
\issue 1
\pages 229--234
\crossref{https://doi.org/10.1070/SM1995v081n01ABEH003622}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995QZ14400012}
Linking options:
  • https://www.mathnet.ru/eng/sm881
  • https://doi.org/10.1070/SM1995v081n01ABEH003622
  • https://www.mathnet.ru/eng/sm/v185/i2/p107
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:327
    Russian version PDF:96
    English version PDF:11
    References:68
    First page:1
     
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