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...

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...

an analysis of an elliptic partial differential equation known as the complex Monge–Ampère equation, was an influential early result in the field of...

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...

elliptic partial differential equations and the real Monge–Ampère equation, to the setting of the complex Monge–Ampère equation. In differential geometry...

statics. History of the metre Monge array Monge cone Monge equation Monge patch Monge point Monge–Ampère equation Monge's theorem Clebsch representation...

his outstanding contributions to the regularity of solutions of Monge–Ampère equation and optimal maps and for his deep work on quantitative stability...

solutions to the Monge–Ampère equation and a partial regularity result for Monge–Ampère type equations, both proved together with Guido de Philippis. He...

higher-dimensional domains was an outstanding open problem. The Monge-Ampère equation, in the form of prescribing the determinant of the hessian of a...

Enrico Valdinoci. Her dissertation was on the Geometry of complex Monge-Ampère equations on compact Kähler manifolds. After receiving her PhD, she became...