| Existence of a Solution to the Stefan Problem with Joule′ s Heating P Shi, M Shillor, XS Xu Journal of Differential Equations 105 (2), 239-263, 1993 | 66 | 1993 |
| A strongly degenerate system involving an equation of parabolic type and an equation of elliptic type X Xu Communications in partial differential equations 18 (1-2), 199-213, 1993 | 55 | 1993 |
| On the existence of bounded temperature in the thermistor problem with degeneracy X Xu Nonlinear Analysis: Theory, Methods & Applications 42 (2), 199-213, 2000 | 48 | 2000 |
| A degenerate Stefan-like problem with Joule’s heating X Xu SIAM journal on mathematical analysis 23 (6), 1417-1438, 1992 | 40 | 1992 |
| The thermistor problem with conductivity vanishing for large temperature X Xu Proceedings of the Royal Society of Edinburgh Section A: Mathematics 124 (1 …, 1994 | 36 | 1994 |
| On the uniqueness problem for quasilinear elliptic equations involving measures T Kilpeläinen, X Xu Revista Matematica Iberoamericana 12 (2), 461-475, 1996 | 31 | 1996 |
| Existence theorems for a multidimensional crystal surface model JG Liu, X Xu SIAM Journal on Mathematical Analysis 48 (6), 3667-3687, 2016 | 29 | 2016 |
| Existence and convergence theorems for doubly nonlinear partial differential equations of elliptic-parabolic type X Xu Journal of mathematical analysis and applications 150 (1), 205-223, 1990 | 29 | 1990 |
| Partial regularity of solutions to a class of degenerate systems X Xu Transactions of the American Mathematical Society 349 (5), 1973-1992, 1997 | 25 | 1997 |
| Global existence theorem for a model governing the motion of two cell populations BC Price, X Xu arXiv preprint arXiv:2004.05939, 2020 | 23 | 2020 |
| The Stefan problem with convection and Joule's heating X Xu, M Shillor Advances in Differential Equations 2 (4), 667, 1997 | 23 | 1997 |
| A local partial regularity theorem for weak solutions of degenerate elliptic equations and its application to the thermistor problem X Xu | 22 | 1999 |
| Existence and regularity theorems for a free boundary problem governing a simple climate model X Xu Applicable Analysis 42 (1-4), 33-57, 1991 | 21 | 1991 |
| The N-dimensional quasistatic problem of thermoelastic contact with barber's heat exchange conditions X Xu ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS 6, 559-587, 1996 | 19 | 1996 |
| Local and global existence of continuous temperature in the electrical heating of conductors X Xu Houston J. Math 22 (2), 435-455, 1996 | 19 | 1996 |
| Existence and incompressible limit of a tissue growth model with autophagy JG Liu, X Xu SIAM Journal on Mathematical Analysis 53 (5), 5215-5242, 2021 | 18 | 2021 |
| Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the joule-Thomson effect X Xu International Journal of Mathematics and Mathematical Sciences 16, 125-138, 1993 | 18 | 1993 |
| Partial regularity of weak solutions to a PDE system with cubic nonlinearity JG Liu, X Xu Journal of Differential Equations 264 (8), 5489-5526, 2018 | 17 | 2018 |
| Regularity theorems for a biological network formulation model in two space dimensions X Xu arXiv preprint arXiv:1612.04738, 2016 | 17 | 2016 |
| Local partial regularity theorems for suitable weak solutions of a class of degenerate systems X Xu Applied Mathematics and Optimization 34, 299-324, 1996 | 16 | 1996 |
Meir ShillorDistinguished Professor of Mathematics, Oakland UniversityVerified email at oakland.edu
