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Moscow Mathematical Journal, 2011, Volume 11, Number 1, Pages 149–155
DOI: https://doi.org/10.17323/1609-4514-2011-11-1-149-155 (Mi mmj415) 		 
On derivatives of viscosity solutions to fully nonlinear elliptic equations

Nikolai Nadirashvili

LATP, CMI, Marseille, FRANCE
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DOI: https://doi.org/10.17323/1609-4514-2011-11-1-149-155
Abstract: We prove that partial derivatives of viscosity solutions of elliptic fully nonlinear equations are viscosity solutions of linear elliptic equations.
Key words and phrases: fully nonlinear elliptic equation, elliptic equations with measurable coefficients.
Received: December 2, 2009; in revised form June 21, 2010
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Document Type: Article
MSC: 35J60
Language: English
Citation: Nikolai Nadirashvili, “On derivatives of viscosity solutions to fully nonlinear elliptic equations”, Mosc. Math. J., 11:1 (2011), 149–155
Citation in format AMSBIB
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\by Nikolai~Nadirashvili
\paper On derivatives of viscosity solutions to fully nonlinear elliptic equations
\jour Mosc. Math.~J.
\yr 2011
\vol 11
\issue 1
\pages 149--155
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\crossref{https://doi.org/10.17323/1609-4514-2011-11-1-149-155}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2808216}
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