Areas of expertise
- Partial Differential Equations 010110
- Algebraic And Differential Geometry 010102
Publications
- Urbas, J 2007, 'A remark on minimal Lagrangian diffeomorphisms and the Monge-Ampere equation', Bulletin of the Australian Mathematical Society, vol. 76, no. 2, pp. 215-218.
- Urbas, J 2007, 'An approximation result for solutions of Hessian equations', Calculus of Variations and Partial Differential Equations, vol. 29, pp. 219-230.
- Urbas, J 2004, 'Global continuity estimates for two dimensional graphs of prescribed Gauss curvature', Manuscripta Mathematica, vol. 115, pp. 179-193.
- Sheng, W, Urbas, J & Wang, X-J 2004, 'Interior curvature bounds for a class of curvature equations', Duke Mathematical Journal, vol. 123, no. 2, pp. 235-264.
- Urbas, J 2003, 'The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space', Calculus of Variations and Partial Differential Equations, vol. 18, pp. 307-316.
- Urbas, J 2003, 'Monotonicity formulae and curvature equations', Journal fur Reine und Angewandte Mathematik (Crelles Journal), vol. 557, pp. 199-218.
- Urbas, J 2003, 'Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean curvature', Communications in Analysis and Geometry, vol. 11, no. 2, pp. 235-261.
- Urbas, J 2002, 'Weingarten hypersurfaces with prescribed gradient image', Mathematische Zeitschrift, vol. 240, pp. 53-82.
- Urbas, J 2002, 'Hessian equations on compact Riemannian manifolds', in Birmann M S, Hildebrandt S, Solonikov V A, Uraltseva N N (ed.), Nonlinear Problems in Mathematical Physics and Related Topics II, Kluwer Academic Publishers, Russia, pp. 371-383.
- Urbas, J 2001, 'An interior second derivative bound for solutions of Hessian equations', Calculus of Variations and Partial Differential Equations, vol. 12, pp. 417-431.
- Urbas, J 2001, 'The secondary boundary value problem for a class of Hessian equations', Communications in Partial Differential Equations, vol. 26, pp. 859-882.
- Urbas, J 2001, 'Some new estimates for solutions of degenerate two dimensional Monge-Ampere equations', Mathematische Zeitschrift, vol. 236, pp. 625-641.
- Urbas, J 2000, 'Some interior regularity results for solutions of Hessian equations', Calculus of Variations and Partial Differential Equations, vol. 11, no. 1, pp. 1 - 31.
- Urbas, J 2000, 'An interior curvature bound for hypersurfaces of prescribed $k$-th mean curvature', Journal fur Reine und Angewandte Mathematik (Crelles Journal), vol. 519, pp. 41 - 57.
- Urbas, J 2000, 'A note on the contact angle boundary condition for Monge-Ampere equations', Proceedings of the American Mathematical Society, vol. 128, no. 3, pp. 853 - 855.
- Urbas, J 1999, 'Complete noncompact self-similar solutions of Gauss curvature flows II. Negative powers', Advances in Differential Equations, vol. 4, no. 3, pp. 323-346.
- Urbas, J 1999, 'Convex curves moving homothetically by negative powers of their curvature', Asian Journal of Mathematics, vol. 3, no. 3, pp. 635-658.
- Urbas, J 1999, 'Self-similar solutions of Gauss curvature flows', Contemporary Mathematics, vol. 226, pp. 157-172.
