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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 1, Pages 207–228
DOI: https://doi.org/10.1070/SM1984v049n01ABEH002705 (Mi sm2187) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On degenerate nonlinear elliptic equations. II

N. V. Krylov
English version PDF (1242 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1984v049n01ABEH002705
Abstract: Dirichlet problems for degenerate nonlinear elliptic equations of Bellman type $\inf_p(L(p)u+f(p))=0$ are studied, where $L(p)$ is a linear elliptic operator of second order. Under certain conditions on the coefficients of $L(p)$, it is shown that this problem is solvable in the class of functions with bounded second derivatives.
Bibliography: 15 titles.
Received: 12.05.1982
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J70, 35J60; Secondary 35B45, 35A30
Language: English
Original paper language: Russian
Citation: N. V. Krylov, “On degenerate nonlinear elliptic equations. II”, Math. USSR-Sb., 49:1 (1984), 207–228
Citation in format AMSBIB
\Bibitem{Kry83}
\by N.~V.~Krylov
\paper On degenerate nonlinear elliptic equations.~II
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 1
\pages 207--228
\mathnet{http://mi.mathnet.ru//eng/sm2187}
\crossref{https://doi.org/10.1070/SM1984v049n01ABEH002705}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=703325}
\zmath{https://zbmath.org/?q=an:0549.35050|0538.35037}
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  • https://www.mathnet.ru/eng/sm/v163/i2/p211
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