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Estimates of max \(| u_ x|\) for the solutions of quasilinear elliptic and parabolic equations of the general form and existence theorems

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Publication:1069021
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DOI10.1007/BF01372199zbMath0582.35010OpenAlexW2013370665MaRDI QIDQ1069021

O. A. Ladyzhenskaya, Nina N. Ural'tseva

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01372199


zbMATH Keywords

Dirichlet problemexistencea priori estimatesquasilinear


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)





Cites Work

  • Estimate of the Hölder norm of the solutions of second-order quasilinear elliptic equations of the general form




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