Existence of polynomial solutions of the Monge-Ampère equation of the 4th degree. Strong bending of a thin plate;Существование полиномиальных решений уравнения Монжа-Ампера 4-й степени. Сил
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Publication:6146536
DOI10.4213/SM9852MaRDI QIDQ6146536
Publication date: 15 January 2024
Published in: Математический сборник (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sm9852
Nonlinear higher-order PDEs (35G20) Monge-Ampère equations (35J96) Polynomial solutions to PDEs (35C11)
Cites Work
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- Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
- Polynomial solutions of the Monge-Ampère equation
- The action of the Monge-Ampère operator on polynomials in the plane and its fixed points of polynomial type
- DIFFERENTIAL CRITERIA FOR HOMEOMORPHISM OF CERTAIN MAPPINGS WITH APPLICATIONS TO THE THEORY OF SURFACES
- ON THE PROBLEM OF THE NORMAL IMAGE OF A COMPLETE SURFACE OF NEGATIVE CURVATURE
- ON THE PROPERTIES OF THE NORMAL MAPPING GENERATED BY THE EQUATIONS $ rt-s^2=-f^2(x,\,y)$
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