studied by Gaspard Monge in 1784 and later by André-Marie Ampère in 1820. Important results in the theory of Monge–Ampère equations have been obtained...
8 KB (1,005 words) - 23:49, 24 March 2023
André-Marie Ampère was born on 20 January 1775 in Lyon to Jean-Jacques Ampère, a prosperous businessman, and Jeanne Antoinette Desutières-Sarcey Ampère, during...
21 KB (2,282 words) - 19:01, 4 October 2024
Calabi conjecture (redirect from Complex Monge-Ampère equation)
an analysis of an elliptic partial differential equation known as the complex Monge–Ampère equation, was an influential early result in the field of...
11 KB (1,557 words) - 00:27, 13 June 2024
distance Monge–Ampère equation G. Monge. Mémoire sur la théorie des déblais et des remblais. Histoire de l’Académie Royale des Sciences de Paris, avec...
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statics. History of the metre Monge array Monge cone Monge equation Monge patch Monge point Monge–Ampère equation Monge's theorem Clebsch representation...
19 KB (2,067 words) - 06:26, 14 August 2024
elliptic partial differential equations and the real Monge–Ampère equation, to the setting of the complex Monge–Ampère equation. In differential geometry...
117 KB (10,542 words) - 23:46, 14 October 2024
his outstanding contributions to the regularity of solutions of Monge–Ampère equation and optimal maps and for his deep work on quantitative stability...
4 KB (280 words) - 12:36, 29 July 2024
solutions to the Monge–Ampère equation and a partial regularity result for Monge–Ampère type equations, both proved together with Guido de Philippis. He...
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Louis Nirenberg (section Navier-Stokes equations)
higher-dimensional domains was an outstanding open problem. The Monge-Ampère equation, in the form of prescribing the determinant of the hessian of a...
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Enrico Valdinoci. Her dissertation was on the Geometry of complex Monge-Ampère equations on compact Kähler manifolds. After receiving her PhD, she became...
5 KB (371 words) - 16:36, 11 August 2024