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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 infp(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}
Linking options:
  • https://www.mathnet.ru/eng/sm2187
  • https://doi.org/10.1070/SM1984v049n01ABEH002705
  • https://www.mathnet.ru/eng/sm/v163/i2/p211
    Cycle of papers
    This publication is cited in the following 5 articles:
    1. Kutev N., Oliaro A., Popivanov P., “On the Solvability of the Characteristic Dirichlet Problem for Linear Degenerate Parabolic Equations”, Proc. Amer. Math. Soc., 138:1 (2010), 153–163  crossref  mathscinet  zmath  isi
    2. Bloss M., Hoppe R., “Numerical Computation of the Value Function of Optimally Controlled Stochastic Switching Processes by Multi-Grid Techniques”, Numer. Funct. Anal. Optim., 10:3-4 (1989), 275–304  crossref  mathscinet  isi
    3. L. Caffarelli, J. J. Kohn, L. Nirenberg, J. Spruck, “The Dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations”, Comm Pure Appl Math, 38:2 (1985), 209  crossref  mathscinet  zmath
    4. N. M. Ivochkina, “Solution of the Dirichlet problem for some equations of Monge–Aampére type”, Math. USSR-Sb., 56:2 (1987), 403–415  mathnet  crossref  mathscinet  zmath
    5. Kutev N., “On the Solvability of Monge-Ampere Type Equations”, 38, no. 10, 1985, 1283–1285  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:121
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    References:61
     
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