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On the Monge-Ampére equation in a polynomial domain

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Publication:382199
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DOI10.1134/S1064562413040182zbMath1281.35055OpenAlexW2010096691MaRDI QIDQ382199

Yu. A. Aminov

Publication date: 18 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413040182

zbMATH Keywords

Monge-Ampére equationpolynomial solution


Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96) Polynomial solutions to PDEs (35C11)


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Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems



Cites Work

  • Unnamed Item
  • On the improper convex affine hyperspheres
  • Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
  • Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
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