29 citations · 60 across the 23 of their papers we have counts for
19 papers · 1 filter
On a class of Cauchy problems with applications in nonlinear partial differential equations
Feida Jiang, Neil S. Trudinger, Qiao-Qiao Xu
In this paper, we investigate the existence and nonexistence of entire solutions to a general class of Cauchy problems in the positive half line. Our results provide a unified appr…
On the maximum principle for general linear elliptic equations
Neil S. Trudinger
We consider maximum principles and related estimates for linear second order elliptic partial differential operators in n-dimensional Euclidean space, which improve previous result…
A note on second derivative estimates for Monge-Ampe`re type equations
Neil S Trudinger
In this note we revisit previous Pogorelov type interior and global second derivative estimates of the author, F. Jiang and J. Liu for solutions of Monge-Amp`ere type partial diffe…
On the convexity theory of generating functions
Gregoire Loeper, Neil S Trudinger
In this paper, we extend our convexity theory for cost functions in optimal transportation to more general generating functions, which were originally introduced by the secon…
On the local theory of prescribed Jacobian equations revisited
Neil S Trudinger
In this paper we revisit our previous study of the local theory of prescribed Jacobian equations associated with generating functions, which are extensions of cost functions in the…
Weak formulation of the MTW condition and convexity properties of potentials
G. Loeper, N. S. Trudinger
We simplify the geometric interpretation of the weak Ma-Trudinger-Wang condition for regularity in optimal transportation and provide a geometric proof of the global c-convexity of…