SU\G(𝔾)/K·U

Cale Rankin

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All published works
Action Title Year Authors
+ PDF Chat The monopolist's free boundary problem in the plane 2024 Robert J. McCann
Cale Rankin
Kelvin Shuangjian Zhang
+ PDF Chat A geometric approach to apriori estimates for optimal transport maps 2024 Simon Brendle
Flavien LĂ©ger
Robert J. McCann
Cale Rankin
+ Strict <i>g</i>-Convexity for Generated Jacobian Equations with Applications to Global Regularity 2023 Cale Rankin
+ PDF Chat First and second derivative Hölder estimates for generated Jacobian equations 2023 Cale Rankin
+ Bregman-Wasserstein divergence: geometry and applications 2023 Cale Rankin
Ting‐Kam Leonard Wong
+ $C^{1,1}$ regularity for principal-agent problems 2023 Robert J. McCann
Cale Rankin
Kelvin Shuangjian Zhang
+ A geometric approach to apriori estimates for optimal transport maps 2023 Simon Brendle
Flavien LĂ©ger
Robert J. McCann
Cale Rankin
+ PDF Chat A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT 2022 Cale Rankin
+ First and second derivative Hölder estimates for generated Jacobian equations 2022 Cale Rankin
+ Regularity and uniqueness results for generated Jacobian equations 2022 Cale Rankin
+ A remark on the geometric interpretation of the A3w condition from optimal transport 2022 Cale Rankin
+ PDF Chat Strict convexity and $$C^1$$ regularity of solutions to generated Jacobian equations in dimension two 2021 Cale Rankin
+ Strict $g$-convexity for generated Jacobian equations with applications to global regularity 2021 Cale Rankin
+ PDF Chat DISTINCT SOLUTIONS TO GENERATED JACOBIAN EQUATIONS CANNOT INTERSECT 2020 Cale Rankin
Common Coauthors
Coauthor Papers Together
Robert J. McCann 4
Kelvin Shuangjian Zhang 2
Simon Brendle 2
Flavien LĂ©ger 2
Ting‐Kam Leonard Wong 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Regularity of Potential Functions of the Optimal Transportation Problem 2005 Xi‐Nan Ma
Neil S. Trudinger
Xu‐Jia Wang
 5
+ On the local theory of prescribed Jacobian equations 2013 Neil S. Trudinger
 5
+ PDF Chat On the regularity of solutions of optimal transportation problems 2009 Grégoire Loeper
 5
+ PDF Chat Partial regularity of solutions to the second boundary value problem for generated Jacobian equations 2017 Yash Jhaveri
 4
+ PDF Chat Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations 2017 Nestor Guillen
Jun Kitagawa
 4
+ PDF Chat Continuity, curvature, and the general covariance of optimal transportation 2010 Young‐Heon Kim
Robert J. McCann
 4
+ PDF Chat On the Second Boundary Value Problem for Monge–Ampùre Type Equations and Geometric Optics 2018 Feida Jiang
Neil S. Trudinger
 3
+ PDF Chat Hölder Continuity and Injectivity of Optimal Maps 2013 Alessio Figalli
Young‐Heon Kim
Robert J. McCann
 3
+ Strict convexity and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:math> regularity of potential functions in optimal transportation under condition A3w 2015 Shibing Chen
Xu‐Jia Wang
 3
+ On the local theory of prescribed Jacobian equations revisited 2021 Neil S. Trudinger
 3
+ PDF Chat Local Hölder regularity of solutions to generated Jacobian equations 2021 Seonghyeon Jeong
 3
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
 3
+ PDF Chat Interior<i>C</i><sup>2,α</sup>Regularity for Potential Functions in Optimal Transportation 2009 Jiakun Liu
Neil S. Trudinger
Xu‐Jia Wang
 3
+ A Localization Property of Viscosity Solutions to the Monge-Ampere Equation and their Strict Convexity 1990 Luis Caffarelli
 3
+ Optimal Transport 2008 CĂ©dric Villani
 3
+ The Monge–Ampùre Equation and Its Applications 2016 Alessio Figalli
 3
+ PDF Chat The regularity of mappings with a convex potential 1992 Luis Caffarelli
 2
+ Continuity and injectivity of optimal maps 2014 JĂ©rĂŽme VĂ©tois
 2
+ Boundary Regularity of Maps with Convex Potentials--II 1996 Luis Caffarelli
 2
+ Hölder regularity of optimal mappings in optimal transportation 2008 Jiakun Liu
 2
+ On the classical solvability of near field reflector problems 2015 Neil S. Trudinger
Jiakun Liu
 2
+ PDF Chat Strict convexity and $$C^1$$ regularity of solutions to generated Jacobian equations in dimension two 2021 Cale Rankin
 2
+ PDF Chat DISTINCT SOLUTIONS TO GENERATED JACOBIAN EQUATIONS CANNOT INTERSECT 2020 Cale Rankin
 2
+ On the second boundary value problem for equations of Monge-AmpĂšre type. 1997 John Urbas
 2
+ PDF Chat On the local geometry of maps with c-convex potentials 2014 Nestor Guillen
Jun Kitagawa
 2
+ On Strict Convexity and Continuous Differentiability of Potential Functions in Optimal Transportation 2008 Neil S. Trudinger
Xu‐Jia Wang
 2
+ Interior W 2, p Estimates for Solutions of the Monge-Ampere Equation 1990 Luis Caffarelli
 1
+ PDF Chat Classical solvability in dimension two of the second boundary-value problem associated with the Monge-AmpÚre operator 1991 Philippe Delanoë
 1
+ Synthetic theory of Ricci curvature bounds 2016 CĂ©dric Villani
 1
+ Measure Theory and Fine Properties of Functions, Revised Edition 2015 Lawrence C. Evans
Ronald Gariepy
 1
+ PDF Chat Global regularity of optimal mappings in non-convex domains 2019 Shibing Chen
Jiakun Liu
Xu‐Jia Wang
 1
+ ïżœber die Differentialungleichung 0&lt;??rt?S 2?\&lt;? 1959 Erhard Heinz
 1
+ PDF Chat On the (in)stability of the identity map in optimal transportation 2019 Yash Jhaveri
 1
+ PDF Chat A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions 2017 Yanyan Li
Jiakun Liu
Luc Nguyen
 1
+ PDF Chat Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular) 2011 Young‐Heon Kim
Robert J. McCann
 1
+ PDF Chat Existence in multidimensional screening with general nonlinear preferences 2019 Kelvin Shuangjian Zhang
 1
+ On the local theory of prescribed Jacobian equations revisited. 2020 Neil S. Trudinger
 1
+ PDF Chat Continuity and injectivity of optimal maps for non-negatively cross-curved costs 2009 Alessio Figalli
Young‐Heon Kim
Robert J. McCann
 1
+ PDF Chat Mean curvature flow of spacelike graphs 2010 Guanghan Li
Isabel M. C. Salavessa
 1
+ Recent Developments on the MTW Tensor 2021 Gabriel Khan
Jun Zhang
 1
+ PDF Chat Pseudo-Riemannian geometry encodes information geometry in optimal transport 2021 Ting‐Kam Leonard Wong
Jiaowen Yang
 1
+ On the convexity theory of generating functions 2024 Grégoire Loeper
Neil S. Trudinger
 1
+ PDF Chat Weak formulation of the MTW condition and convexity properties of potentials 2021 Grégoire Loeper
Neil S. Trudinger
 1
+ PDF Chat Global regularity for the Monge-AmpĂšre equation with natural boundary condition 2021 Shibing Chen
Jiakun Liu
Xu‐Jia Wang
 1
+ PDF Chat Examples of Bernstein problems for some nonlinear equations 1970 Eugenio Calabi
 1
+ PDF Chat A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT 2022 Cale Rankin
 1
+ PDF Chat On the second boundary value problem for Monge-AmpĂšre type equations and optimal transportation 2009 Neil S. Trudinger
Xu‐Jia Wang
 1
+ PDF Chat A note on second derivative estimates for Monge-AmpĂšre-type equations 2023 Neil S. Trudinger
 1
+ Measure Theory and Fine Properties of Functions 2018 Lawrence C. Evans
Ronald F. Garzepy
 1
+ PDF Chat Five lectures on optimal transportation: Geometry, regularity and applications 2013 Robert J. McCann
Nestor Guillen
 1