Micah Warren

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All published works

Action	Title	Year	Authors
+	A Liouville type theorem for ancient Lagrangian mean curvature flows	2025	Arunima Bhattacharya Micah Warren Daniel Weser
+ PDF Chat	Grim Raindrop: A Translating Solution to Curve Diffusion Flow	2024	W. Jacob Ogden Micah Warren
+ PDF Chat	A Liouville type theorem for ancient Lagrangian mean curvature flows	2024	Arunima Bhattacharya Micah Warren Daniel Weser
+ PDF Chat	A Geometric flow towards hamiltonian stationary submanifolds	2024	Jingyi Chen Micah Warren
+ PDF Chat	Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume	2024	Jingyi Chen Micah Warren
+ PDF Chat	Regularity of Hamiltonian stationary equations in symplectic manifolds	2023	Arunima Bhattacharya Jingyi Chen Micah Warren
+ PDF Chat	Approximating coarse Ricci curvature on submanifolds of Euclidean space	2022	Antonio G. Ache Micah Warren
+ PDF Chat	$ C^{2, \alpha} $ estimates for solutions to almost Linear elliptic equations	2021	Arunima Bhattacharya Micah Warren
+	Regularity of Hamiltonian Stationary Equations in Symplectic manifolds	2021	Arunima Bhattacharya Jingyi Chen Micah Warren
+ PDF Chat	Regularity Bootstrapping for 4th-order Nonlinear Elliptic Equations	2019	Arunima Bhattacharya Micah Warren
+	Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume	2019	Jingyi Chen Micah Warren
+	Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions	2018	Arunima Bhattacharya Micah Warren
+	On the regularity of Hamiltonian stationary Lagrangian submanifolds	2018	Jingyi Chen Micah Warren
+ PDF Chat	Ricci curvature and the manifold learning problem	2018	Antonio G. Ache Micah Warren
+ PDF Chat	Radial solutions of a fourth order Hamiltonian stationary equation	2018	Jingyi Chen Micah Warren
+ PDF Chat	Legendrian curve shortening flow in $\mathbb{R}^3$	2018	Gregory Drugan Weiyong He Micah Warren
+	Continuum Nash Bargaining Solutions	2017	Micah Warren
+	Coarse Ricci Curvature as a Function on $$\varvec{M\times M}$$	2017	Antonio G. Ache Micah Warren
+	Continuum Nash Bargaining Solutions	2017	Micah Warren
+	On a fourth order Hamiltonian stationary equation: Regularity and removable singularities	2016	Jingyi Chen Micah Warren
+	Radial solutions of a fourth order Hamiltonian stationary equation	2016	Jingyi Chen Micah Warren
+	On the Regularity of Hamiltonian Stationary Lagrangian manifolds	2016	Jingyi Chen Micah Warren
+	Nonpolynomial entire solutions to σ<sub><i>k</i></sub>equations	2015	Micah Warren
+ PDF Chat	A Liouville property for gradient graphs and a Bernstein problem for Hamiltonian stationary equations	2015	Micah Warren
+	A Bernstein result and counterexample for entire solutions to Donaldson’s equation	2015	Micah Warren
+ PDF Chat	Evans–Krylov Estimates for a nonconvex Monge–Ampère equation	2015	Jeffrey Streets Micah Warren
+	Legendrian curve shortening flow in $\mathbb{R}^{3}$	2015	Gregory Drugan Weiyong He Micah Warren
+	Coarse Ricci curvature as a function on $M\times M$	2015	Antonio G. Ache Micah Warren
+	Approximating coarse Ricci curvature on metric measure spaces with applications to submanifolds of Euclidean space	2015	Antonio G. Ache Micah Warren
+	A Liouville property for gradient graphs and a Bernstein problem for Hamiltonian stationary equations	2015	Micah Warren
+	Non-polynomial entire solutions to $\sigma_{k}$ equations	2015	Micah Warren
+	A Bernstein result and counterexample for entire solutions to Donaldson's equation	2015	Micah Warren
+	Approximating coarse Ricci curvature on submanifolds of Euclidean space	2015	Antonio G. Ache Micah Warren
+	Legendrian curve shortening flow in $\mathbb{R}^{3}$	2015	Gregory Drugan Weiyong He Micah Warren
+	Coarse Ricci curvature as a function on $M\times M$	2015	Antonio G. Ache Micah Warren
+	A Liouville property for gradient graphs and a Bernstein problem for Hamiltonian stationary equations	2015	Micah Warren
+	A Bernstein result and counterexample for entire solutions to Donaldson's equation	2015	Micah Warren
+	Non-polynomial entire solutions to $σ_{k}$ equations	2015	Micah Warren
+ PDF Chat	On solutions to Cournot–Nash equilibria equations on the sphere	2014	Micah Warren
+	Coarse Ricci curvature with applications to manifold learning problem	2014	Antonio G. Ache Micah Warren
+	Coarse Ricci curvature and the manifold learning problem.	2014	Antonio G. Ache Micah Warren
+	Ricci Curvature and the Manifold Learning Problem	2014	Antonio G. Ache Micah Warren
+	Evans-Krylov Estimates for a nonconvex Monge-Amp\`ere equation	2014	Jeffrey Streets Micah Warren
+	Ricci Curvature and the Manifold Learning Problem	2014	Antonio G. Ache Micah Warren
+	Evans-Krylov Estimates for a nonconvex Monge-Ampère equation	2014	Jeffrey Streets Micah Warren
+ PDF Chat	Regularity for the Optimal Transportation Problem with Euclidean Distance Squared Cost on the Embedded Sphere	2012	Jun Kitagawa Micah Warren
+ PDF Chat	Parabolic Optimal Transport Equations on Manifolds	2011	Young‐Heon Kim Jeffrey Streets Micah Warren
+ PDF Chat	Rectifiability of Optimal Transportation Plans	2011	Robert J. McCann Brendan Pass Micah Warren
+ PDF Chat	A McLean Theorem for the moduli space of Lie solutions to mass transport equations	2011	Micah Warren
+	Regularity for the optimal transportation problem with Euclidean distance squared cost on the embedded sphere	2011	Jun Kitagawa Micah Warren
+ PDF Chat	Regularity for a log-concave to log-concave mass transfer problem with near Euclidean cost	2011	Micah Warren
+	Regularity for the optimal transportation problem with Euclidean distance squared cost on the embedded sphere	2011	Jun Kitagawa Micah Warren
+ PDF Chat	Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary	2010	Matthew J. Gursky Jeffrey Streets Micah Warren
+	Regularity for a log-concave to log-concave mass transfer problem with near Euclidean cost	2010	Micah Warren
+	A McLean Theorem for the moduli space of Lie solutions to mass transport equations	2010	Micah Warren
+ PDF Chat	Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase	2010	Micah Warren Yu Yuan
+	Calibrations associated to Monge-Ampère equations	2010	Micah Warren
+ PDF Chat	A boundary value problem for minimal Lagrangian graphs	2010	Simon Brendle Micah Warren
+	Parabolic optimal transport equations on manifolds	2010	Young‐Heon Kim Jeffrey Streets Micah Warren
+ PDF Chat	Pseudo-Riemannian geometry calibrates optimal transportation	2010	Young‐Heon Kim Robert J. McCann Micah Warren
+ PDF Chat	Conformally bending three-manifolds with boundary	2010	Matthew J. Gursky Jeffrey Streets Micah Warren
+	Regularity for a log-concave to log-concave mass transfer problem with near Euclidean cost	2010	Micah Warren
+	A McLean Theorem for the moduli space of Lie solutions to mass transport equations	2010	Micah Warren
+	Calibrating optimal transportation: a new pseudo-Riemannian geometry	2009	Young‐Heon Kim Robert J. McCann Micah Warren
+	Existence of Complete conformal metrics of negative Ricci curvature on manifolds with boundary	2009	Matthew J. Gursky Jeffrey Streets Micah Warren
+	Pseudo-Riemannian geometry calibrates optimal transportation	2009	Young‐Heon Kim Robert J. McCann Micah Warren
+	Existence of Complete conformal metrics of negative Ricci curvature on manifolds with boundary	2009	Matthew J. Gursky Jeffrey Streets Micah Warren
+	A priori estimate for convex solutions to special Lagrangian equations and its application	2008	Jingyi Chen Yu Yuan Micah Warren
+ PDF Chat	Explicit gradient estimates for minimal Lagrangian surfaces of dimension two	2008	Micah Warren Yu Yuan
+ PDF Chat	A Liouville Type Theorem for Special Lagrangian Equations with Constraints	2008	Micah Warren Yu Yuan
+ PDF Chat	Hessian estimates for the sigma‐2 equationin dimension 3	2008	Micah Warren Yu Yuan
+	Hessian and gradient estimates for three dimensional special Lagrangian Equations with large phase	2008	Micah Warren Yu Yuan
+	A boundary value problem for minimal Lagrangian graphs	2008	Simon Brendle Micah Warren
+	Calibrations associated to Monge-Ampere equations	2007	Micah Warren
+	A Liouville type theorem for special Lagrangian Equations with constraints	2007	Micah Warren Yu Yuan
+	Explicit gradient estimates for minimal Lagrangian surfaces of dimension two	2007	Micah Warren Yu Yuan
+	Hessian estimates for the sigma-2 equation in dimension three	2007	Micah Warren Yu Yuan
+	Calibrations associated to Monge-Ampere equations	2007	Micah Warren

Common Coauthors

Coauthor	Papers Together
Antonio G. Ache	11
Jeffrey Streets	9
Yu Yuan	9
Jingyi Chen	8
Arunima Bhattacharya	7
Young‐Heon Kim	5
Robert J. McCann	4
Matthew J. Gursky	4
Gregory Drugan	3
Jun Kitagawa	3
Daniel Weser	2
Weiyong He	2
Simon Brendle	2
Jingyi Chen	2
Jingyi Chen	1
Weiyong He	1
Brendan Pass	1
W. Jacob Ogden	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A Bernstein problem for special Lagrangian equations	2002	Yu Yuan	23
+ PDF Chat	Calibrated geometries	1982	Reese Harvey H. Blaine Lawson	21
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	17
+	Global solutions to special Lagrangian equations	2005	Yu Yuan	16
+ PDF Chat	On the second boundary value problem for Monge-Ampère type equations and optimal transportation	2009	Neil S. Trudinger Xu‐Jia Wang	10
+	Volume minimization of Lagrangian submanifolds under Hamiltonian deformations	1993	Yong‐Geun Oh	9
+ PDF Chat	On the regularity of solutions of optimal transportation problems	2009	Grégoire Loeper	8
+	Regularity of Potential Functions of the Optimal Transportation Problem	2005	Xi‐Nan Ma Neil S. Trudinger Xu‐Jia Wang	7
+	Optimal Transport: Old and New	2013	Cédric Villani	7
+	On the second boundary value problem for equations of Monge-Ampère type.	1997	John Urbas	7
+	Fully Nonlinear Elliptic Equations	1995	Luis Caffarelli Xavier Cabré	7
+ PDF Chat	The geometry of optimal transportation	1996	Wilfrid Gangbo Robert J. McCann	6
+ PDF Chat	Continuity, curvature, and the general covariance of optimal transportation	2010	Young‐Heon Kim Robert J. McCann	6
+ PDF Chat	Explicit gradient estimates for minimal Lagrangian surfaces of dimension two	2008	Micah Warren Yu Yuan	6
+	Boundary Regularity of Maps with Convex Potentials--II	1996	Luis Caffarelli	6
+	On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior	1958	Charles B. Morrey	6
+	Some interior regularity results for solutions of Hessian equations	2000	John Urbas	5
+	Hessian estimates for the sigma-2 equation in dimension three	2007	Micah Warren Yu Yuan	5
+ PDF Chat	A Liouville Type Theorem for Special Lagrangian Equations with Constraints	2008	Micah Warren Yu Yuan	5
+	An interior second derivative bound for solutions of Hessian equations	2001	John Urbas	5
+	Gradient estimates for potentials of invertible gradient–mappings on the sphere	2006	Philippe Delanoë Grégoire Loeper	5
+ PDF Chat	Minimizing Area Among Lagrangian Surfaces: The Mapping Problem	2001	Richard Schoen Jon Wolfson	5
+	A variational theory of the Hessian equation	2001	Kai‐Seng Chou Xu‐Jia Wang	5
+	The Minkowski multidimensional problem	1978	А. В. Погорелов	5
+	Compactness and gradient bounds for solutions of the mean curvature system in two independent variables	1994	Giovanni Gregori	5
+ PDF Chat	A Liouville property for gradient graphs and a Bernstein problem for Hamiltonian stationary equations	2015	Micah Warren	5
+	On elliptic Monge-Ampère Equations and Weyl’s embedding problem	1959	Erhard Heinz	5
+ PDF Chat	Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase	2010	Micah Warren Yu Yuan	5
+	Removable singularities of solutions of elliptic equations	1964	James Serrin	5
+	Interior gradient bounds for solutions to the minimal surface system	2004	Mu‐Tao Wang	5
+	The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation	1984	Luis Caffarelli Louis Nirenberg Joel Spruck	5
+	On the regularity of Hamiltonian stationary Lagrangian submanifolds	2018	Jingyi Chen Micah Warren	4
+	Lie solutions of Riemannian transport equations on compact manifolds	2008	Ph. Delanoë	4
+	Classical solutions of fully nonlinear, convex, second‐order elliptic equations	1982	Lawrence C. Evans	4
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon	4
+	Lectures on Partial Differential Equations	2004	Vladimir I. Arnold	4
+	Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3	2003	Jiguang Bao Jingyi Chen	4
+	Weak solutions of hessian equations	1997	Neil S. Trudinger	4
+ PDF Chat	A remark on Bony maximum principle	1983	Pierre‐Louis Lions	4
+	The Bernstein problem for complete Lagrangian stationary surfaces	2000	Chikako Mese	4
+ PDF Chat	A priori estimates for solutions of fully nonlinear special Lagrangian equations	2001	Yu Yuan	4
+ PDF Chat	On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds	2011	Dominic Joyce Yng-Ing Lee Richard Schoen	4
+	Continuity of maps solutions of optimal transportation problems	2005	Grégoire Loeper	4
+ PDF Chat	Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.	1958	Eugenio Calabi	4
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	4
+ PDF Chat	Hessian estimates for the sigma‐2 equationin dimension 3	2008	Micah Warren Yu Yuan	4
+	Interior C2,α regularity theory for a class of nonconvex fully nonlinear elliptic equations	2003	Xavier Cabré Luis Caffarelli	4
+	Extending minimal varieties	1975	Reese Harvey Benjamin Lawson	4
+	Polar factorization and monotone rearrangement of vector‐valued functions	1991	Yann Brenier	4
+	Theorems on Regularity and Singularity of Energy Minimizing Maps	1996	Leon Simon	3