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Matematicheskie Zametki, 2004, Volume 76, Issue 4, Pages 592–603
DOI: https://doi.org/10.4213/mzm134 (Mi mzm134) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Dirichlet Problem for a Class of Quasilinear Elliptic Equations

A. S. Tersenov
Full-text PDF (224 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm134
Abstract: In this paper, the Dirichlet problem for quasilinear elliptic equations is studied. New a priori estimates of the solution and its gradient are obtained. These estimates are derived without any assumptions on the smoothness of the coefficients and the right-hand side of the equation. Moreover, an arbitrary growth of the right-hand side with respect to the gradient of the solution is assumed. On the basis of the resulting estimates, existence theorems are proved.
Received: 28.08.2002
English version:
Mathematical Notes, 2004, Volume 76, Issue 4, Pages 546–557
DOI: https://doi.org/10.1023/B:MATN.0000043484.27246.b3
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. S. Tersenov, “Dirichlet Problem for a Class of Quasilinear Elliptic Equations”, Mat. Zametki, 76:4 (2004), 592–603; Math. Notes, 76:4 (2004), 546–557
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm134
  • https://doi.org/10.4213/mzm134
  • https://www.mathnet.ru/eng/mzm/v76/i4/p592
    • This publication is cited in the following 1 articles:
    1. Tersenov, AS, “The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations”, Journal of Differential Equations, 235:2 (2007), 376  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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