John Urbas

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All published works
Action Title Year Authors
+ PDF Chat A Remark on minimal Lagrangian diffeomorphisms and the Monge-Ampère equation 2007 John Urbas
+ PDF Chat An approximation result for solutions of Hessian equations 2006 John Urbas
+ Global continuity estimates for two dimensional graphs of prescribed Gauss curvature 2004 John Urbas
+ Monotonicity formulae and curvature equations 2003 John Urbas
+ None 2002 John Urbas
+ An interior second derivative bound for solutions of Hessian equations 2001 John Urbas
+ THE SECOND BOUNDARY VALUE PROBLEM FOR A CLASS OF HESSIAN EQUATIONS 2001 John Urbas
+ Some new estimates for solutions of degenerate two dimensional Monge-Ampère equations 2001 John Urbas
+ Some interior regularity results for solutions of Hessian equations 2000 John Urbas
+ PDF Chat Complete noncompact self-similar solutions of Gauss curvature flows II. Negative powers 1999 John Urbas
+ PDF Chat Convex curves moving homothetically by negative powers of their curvature 1999 John Urbas
+ Oblique boundary value problems for equations of Monge-Ampère type 1998 John Urbas
+ Complete noncompact self-similar solutions of Gauss curvature flows I. Positive powers 1998 John Urbas
+ On the second boundary value problem for equations of Monge-Ampère type. 1997 John Urbas
+ Lecture on second order linear partial differential equations 1996 John Urbas
+ PDF Chat Nonlinear oblique boundary value problems for two-dimensional curvature equations 1996 John Urbas
+ PDF Chat Nonlinear oblique boundary value problems for Hessian equations in two dimensions 1995 John Urbas
+ Nonlinear oblique boundary value problems for two dimensional Hessian and curvature equations 1994 John Urbas
+ Regularity Theory for Quasilinear Elliptic Systems and Monge–Ampere Equations in Two Dimensions (Friedmar Schulz) 1993 John Urbas
+ PDF Chat Correction to: ``An expansion of convex hypersurfaces'' 1992 John Urbas
+ PDF Chat An expansion of convex hypersurfaces 1991 John Urbas
+ Regularity of almost extremal solutions of Monge–Ampère equations 1991 John Urbas
+ On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures 1990 John Urbas
+ Regularity and nonregularity for solutions of prescribed curvature equations 1990 John Urbas
+ NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS OF THE SECOND ORDER 1989 John Urbas
+ Regularity of generalized solutions of Monge-Amp�re equations 1988 John Urbas
+ Global H�lder estimates for equations of Monge-Amp�re type 1988 John Urbas
+ The oblique derivative problem for equations of Monge-Ampere type in two dimensions 1987 John Urbas
+ PDF Chat The neumann problem for equations of monge‐ampère type 1986 Pierre‐Louis Lions
Neil S. Trudinger
John Urbas
+ PDF Chat The generalized Dirichlet problem for equations of Monge-Ampère type 1986 John Urbas
+ PDF Chat On second derivative estimates for equations of Monge-Ampère type 1984 Neil S. Trudinger
John Urbas
+ The equation of prescribed Gauss curvature without boundary conditions 1984 John Urbas
+ Some recent results on the equation of prescribed Gauss curvature 1984 John Urbas
+ Elliptic equations of Monge-Ampère type 1984 John Urbas
+ PDF Chat The Dirichlet problem for the equation of prescribed Gauss curvature 1983 Neil S. Trudinger
John Urbas
Common Coauthors
Coauthor Papers Together
Neil S. Trudinger 3
Pierre‐Louis Lions 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
16
+ The Minkowski multidimensional problem 1978 А. В. Погорелов
13
+ The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation 1984 Luis Caffarelli
Louis Nirenberg
Joel Spruck
11
+ PDF Chat The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian 1985 Luis Caffarelli
Louis Nirenberg
Joel Spruck
9
+ The equation of prescribed Gauss curvature without boundary conditions 1984 John Urbas
8
+ On the regularity of the monge‐ampère equation det (∂<sup>2</sup> u/∂x<sub>i</sub> ∂x<sub>j</sub>) = f(x, u) 1977 Shiu‐Yuen Cheng
Shing‐Tung Yau
7
+ PDF Chat The Dirichlet problem for the equation of prescribed Gauss curvature 1983 Neil S. Trudinger
John Urbas
7
+ Sur les equations de Monge-Ampere. I 1983 Pierre‐Louis Lions
6
+ PDF Chat Nonlinear oblique boundary value problems for nonlinear elliptic equations 1986 Gary M. Lieberman
Neil S. Trudinger
5
+ On the second boundary value problem for equations of Monge-Ampère type. 1997 John Urbas
5
+ PDF Chat On second derivative estimates for equations of Monge-Ampère type 1984 Neil S. Trudinger
John Urbas
5
+ Boundary Regularity of Maps with Convex Potentials--II 1996 Luis Caffarelli
4
+ Die innere Geometrie der konvexen Flächen 1955 A. D. Aleksandrov
Lev Arkadʹevich Kaluzhnin
4
+ PDF Chat Classical solvability of the Dirichlet problem for the Monge-Ampère equation 1985 N. M. Ivochkina
4
+ PDF Chat Nonlinear oblique boundary value problems for Hessian equations in two dimensions 1995 John Urbas
4
+ Monge-Ampère equations of elliptic type 1964 А. В. Погорелов
Leo F. Boron
Albert L. Rabenstein
Richard C. Bollinger
4
+ PDF Chat Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator 1991 Philippe Delanoë
4
+ PDF Chat Fully nonlinear, uniformly elliptic equations under natural structure conditions 1983 Neil S. Trudinger
4
+ PDF Chat On degenerate fully nonlinear elliptic equations in balls 1987 Neil S. Trudinger
4
+ PDF Chat The generalized Dirichlet problem for equations of Monge-Ampère type 1986 John Urbas
4
+ Boundary regularity of maps with convex potentials 1992 Luis Caffarelli
3
+ Analytic Inequalities 1970 D. S. Mitrinović
3
+ On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures 1990 John Urbas
3
+ PDF Chat The dirichlet problem for the multidimensional monge-ampere equation 1977 Jeffrey Rauch
B. A. Taylor
3
+ �ber die Differentialungleichung 0&lt;??rt?S 2?\&lt;? 1959 Erhard Heinz
3
+ Convex Analysis and Nonlinear Geometric Elliptic Equations 1994 Ilya J. Bakelman
3
+ The Dirichlet problem for the prescribed curvature equations 1990 Neil S. Trudinger
3
+ Weak solutions of hessian equations 1997 Neil S. Trudinger
3
+ PDF Chat Minimal Lagrangian diffeomorphisms and the Monge-Ampère equation 1997 Jon Wolfson
3
+ Some new estimates for solutions of degenerate two dimensional Monge-Ampère equations 2001 John Urbas
3
+ Global H�lder estimates for equations of Monge-Amp�re type 1988 John Urbas
3
+ �ber die Differentialgleichungr?s 2 =f und das Weylsche Einbettungsproblem 1982 Friedmar Schulz
3
+ PDF Chat Nonlinear oblique boundary value problems for two-dimensional curvature equations 1996 John Urbas
3
+ Extrinsic Geometry of Convex Surfaces 1973 А. В. Погорелов
3
+ Some interior regularity results for solutions of Hessian equations 2000 John Urbas
3
+ PDF Chat On the Dirichlet problem for Hessian equations 1995 Neil S. Trudinger
2
+ Construction of a priori bounds for convex solutions of the Monge-Ampere equation by integral methods 1978 N. M. Ivochkina
2
+ Fully Nonlinear Elliptic Equations 1995 Luis Caffarelli
Xavier Cabré
2
+ On the First Variation of a Varifold 1972 William K. Allard
2
+ Hessian Measures II 1999 Neil S. Trudinger
Xu‐Jia Wang
2
+ Nonlinear Analysis on Manifolds. Monge-Ampère Equations 1982 Thierry Aubin
2
+ PDF Chat The regularity of mappings with a convex potential 1992 Luis Caffarelli
2
+ PDF Chat Regularity Theory for Quasilinear Elliptic Systems and Monge—Ampère Equations in Two Dimensions 1990 Friedmar Schulz
2
+ Classical solutions of fully nonlinear, convex, second‐order elliptic equations 1982 Lawrence C. Evans
2
+ The regularity of convex regions with a metric that is regular in the H�lder classes 1977 I. Kh. Sabitov
2
+ Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup> 1973 J. H. Michael
L. Simon
2
+ PDF Chat The neumann problem for equations of monge‐ampère type 1986 Pierre‐Louis Lions
Neil S. Trudinger
John Urbas
2
+ An interior second derivative bound for solutions of Hessian equations 2001 John Urbas
2
+ PDF Chat On the Hessian of a function and the curvatures of its graph. 1974 Robert C. Reilly
2
+ PDF Chat Three-manifolds with positive Ricci curvature 1982 Richard S. Hamilton
2