The explicit general solution of trivial Monge-Ampère equation

DOI10.1007/s000140050115zbMath0948.35026OpenAlexW2036561590MaRDI QIDQ1567109

Vitaly Ushakov

Publication date: 5 June 2000

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050115

zbMATH Keywords

developable surfaces

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Analyticity in context of PDEs (35A20) Nonlinear higher-order PDEs (35G20) Cauchy-Kovalevskaya theorems (35A10) Surfaces in Euclidean and related spaces (53A05) Solutions to PDEs in closed form (35C05)

Related Items (11)

Geometric classifications of homogeneous production functions ⋮ Entire solutions of the degenerate Monge-Ampère equation with a finite number of singularities ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola's invariants ⋮ Locally Euclidean metrics and their isometric realizations ⋮ The Cauchy problem for the homogeneous Monge-Ampère equation. II: Legendre transform ⋮ Smoothness of the solution of the trivial Monge-Ampère equation ⋮ The Cauchy problem for the homogeneous Monge-Ampère equation. III: Lifespan ⋮ Affine factorable surfaces in isotropic spaces ⋮ Non-zero constant curvature factorable surfaces in pseudo-Galilean space ⋮ Fine level set structure of flat isometric immersions

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