ON SOLUTIONS OF THE MONGE – AMPERE EQUATION WITH POWER-LAW NON-LINEARITY WITH RESPECT TO FIRST DERIVATIVES

DOI10.17223/19988621/42/4OpenAlexW2527681502MaRDI QIDQ5044341

Igor V. Rakhmelevich

Publication date: 25 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu536

zbMATH Keywords

Monge-Ampere equationfunctional separation of variablespower-law non-linearity

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (3)

Nonautonomous evolution equation of Monge-Ampere type with two space variables ⋮ Multi-Dimensional Non-Autonomous Evolutionary Equation of Monge-Amp`ere Type ⋮ On Multidimensional Determinant Differential-Operator Equations

Cites Work

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• The generalized and functional separation of variables in mathematical physics and mechanics
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• Separation of variables in the nonlinear wave equation
• ON TWO-DIMENSIONAL HYPERBOLIC EQUATIONS WITH POWERLAW NON-LINEARITY IN THE DERIVATIVES
• ON SOME NEW SOLUTIONS OF THE MULTI-DIMENSIONAL FIRST ORDER PARTIAL DIFFERENTIAL EQUATION WITH POWER-LAW NON-LINEARITIES
• Functional separation of variables for Laplace equations in two dimensions

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