John Urbas

1.5k total citations
29 papers, 903 citations indexed

About

John Urbas is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, John Urbas has authored 29 papers receiving a total of 903 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Applied Mathematics, 22 papers in Geometry and Topology and 3 papers in Computational Theory and Mathematics. Recurrent topics in John Urbas's work include Geometric Analysis and Curvature Flows (26 papers), Geometry and complex manifolds (19 papers) and Nonlinear Partial Differential Equations (16 papers). John Urbas is often cited by papers focused on Geometric Analysis and Curvature Flows (26 papers), Geometry and complex manifolds (19 papers) and Nonlinear Partial Differential Equations (16 papers). John Urbas collaborates with scholars based in Australia, Germany and France. John Urbas's co-authors include Neil S. Trudinger and Pierre‐Louis Lions and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Inventiones mathematicae and Journal of Differential Geometry.

In The Last Decade

John Urbas

29 papers receiving 775 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
John Urbas Australia	16	867	572	155	138	90	29	903
Rugang Ye United States	10	496 0.6×	388 0.7×	101 0.7×	134 1.0×	107 1.2×	18	589
Uwe Abresch Germany	10	699 0.8×	590 1.0×	62 0.4×	149 1.1×	186 2.1×	13	778
Takashi Shioya Japan	14	523 0.6×	367 0.6×	99 0.6×	161 1.2×	127 1.4×	38	622
L. Simon United States	6	478 0.6×	327 0.6×	87 0.6×	68 0.5×	70 0.8×	7	505
Edmond Mazet France	3	391 0.5×	267 0.5×	116 0.7×	190 1.4×	109 1.2×	9	548
Andrea Ratto Italy	13	411 0.5×	264 0.5×	106 0.7×	62 0.4×	124 1.4×	50	456
John Douglas Moore United States	9	478 0.6×	373 0.7×	48 0.3×	66 0.5×	206 2.3×	34	580
G. Perelman United States	5	393 0.5×	354 0.6×	39 0.3×	89 0.6×	157 1.7×	10	475
Frederico Xavier United States	11	312 0.4×	333 0.6×	36 0.2×	91 0.7×	68 0.8×	32	426
Tominosuke Ôtsuki Japan	13	554 0.6×	394 0.7×	54 0.3×	99 0.7×	287 3.2×	67	641

Countries citing papers authored by John Urbas

Since Specialization

Citations

This map shows the geographic impact of John Urbas's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by John Urbas with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites John Urbas more than expected).

Fields of papers citing papers by John Urbas

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John Urbas. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by John Urbas. The network helps show where John Urbas may publish in the future.

Co-authorship network of co-authors of John Urbas

This figure shows the co-authorship network connecting the top 25 collaborators of John Urbas. A scholar is included among the top collaborators of John Urbas based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with John Urbas. John Urbas is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Urbas, John. (2006). An approximation result for solutions of Hessian equations. Calculus of Variations and Partial Differential Equations. 29(2). 219–230. 1 indexed citations

Urbas, John. (2003). Monotonicity formulae and curvature equations. Journal für die reine und angewandte Mathematik (Crelles Journal). 2003(557). 2 indexed citations

Urbas, John. (2002). Weingarten hypersurfaces with prescribed gradient image. Mathematische Zeitschrift. 240(1). 53–82. 2 indexed citations

Urbas, John. (2001). THE SECOND BOUNDARY VALUE PROBLEM FOR A CLASS OF HESSIAN EQUATIONS. Communications in Partial Differential Equations. 26(5-6). 859–882. 14 indexed citations

Urbas, John. (2001). An interior second derivative bound for solutions of Hessian equations. Calculus of Variations and Partial Differential Equations. 12(4). 417–431. 23 indexed citations

Urbas, John. (2001). Some new estimates for solutions of degenerate two dimensional Monge-Ampère equations. Mathematische Zeitschrift. 236(3). 625–641. 3 indexed citations

Urbas, John. (2000). Some interior regularity results for solutions of Hessian equations. Calculus of Variations and Partial Differential Equations. 11(1). 1–31. 19 indexed citations

Urbas, John. (1998). Complete noncompact self-similar solutions of Gauss curvature flows I. Positive powers. Mathematische Annalen. 311(2). 251–274. 41 indexed citations

Urbas, John. (1997). Book Review: Fully nonlinear elliptic equations. Bulletin of the American Mathematical Society. 34(2). 187–192. 1 indexed citations

10.

Urbas, John. (1997). On the second boundary value problem for equations of Monge-Ampère type.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1997(487). 115–124. 92 indexed citations

11.

Urbas, John. (1996). Nonlinear oblique boundary value problems for two-dimensional curvature equations. Advances in Differential Equations. 1(3). 11 indexed citations

12.

Urbas, John. (1995). Nonlinear oblique boundary value problems for Hessian equations in two dimensions. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 12(5). 507–575. 29 indexed citations

13.

Urbas, John. (1992). Correction to: ``An expansion of convex hypersurfaces''. Journal of Differential Geometry. 35(3). 7 indexed citations

14.

Urbas, John. (1991). Regularity of almost extremal solutions of Monge–Ampère equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 117(1-2). 21–29. 1 indexed citations

15.

Urbas, John. (1991). An expansion of convex hypersurfaces. Journal of Differential Geometry. 33(1). 145 indexed citations

16.

Urbas, John. (1990). On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures. Mathematische Zeitschrift. 205(1). 355–372. 126 indexed citations

17.

Urbas, John. (1988). Regularity of generalized solutions of Monge-Amp�re equations. Mathematische Zeitschrift. 197(3). 365–393. 43 indexed citations

18.

Urbas, John. (1986). The generalized Dirichlet problem for equations of Monge-Ampère type. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 3(3). 209–228. 12 indexed citations

19.

Trudinger, Neil S. & John Urbas. (1984). On second derivative estimates for equations of Monge-Ampère type. Bulletin of the Australian Mathematical Society. 30(3). 321–334. 29 indexed citations

20.

Urbas, John. (1984). The equation of prescribed Gauss curvature without boundary conditions. Journal of Differential Geometry. 20(2). 22 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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