Zhiren Jin, Professor
Partial Differential Equations and Geometric Analysis; PhD, University of Pennsylvania, 1990
Dr. Jin's research interest includes geometric analysis and elliptic type
partial differential equations. For geometric analysis, Dr. Jin is mainly
interested in the partial differential equations and systems arise from the
investigation of geometry problems such as the harmonic maps, prescribing
curvatures on a Riemannian manfiold. For elliptic partial differential
equations, Dr. Jin mainly is interested in the equations for capillary
surfaces, minimal surfaces, properties of solutions for semilinear and
quasilinear elliptic equations.
- Rate of convergence for solutions to Dirichlet problems of quasilinear equations, Electron. J. Diff. Eqns., 2003 (2003), No. 122, pp. 1-14.
- (with Kirk Lancaster) Convergent Rate of Solutions of Dirichlet Problems
for Quasilinear Equations, Journal of the London Mathematical Society, 71 (2005), pp. 415-437.
- Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains, Electron. J. Diff. Eqns., Vol. 2005 (2005), No. 109, pp. 157-179.
- Existence of solutions of the prescribed mean curvature equation on unbounded domains, Proceedings of the Royal Society of Edinburgh, 136A (2006), pp. 157-179.
- A lower bound for principal eigenvalues in parabola-shaped regions, Proceedings of the Royal Society of Edinburgh, 138A (2008), pp. 797-799.
- Growth rate estimates and existence of solutions for the Dirichlet problem for the prescribed mean curvature equation on unbounded domains, Electron. J. Diff. Eqns., Vol 2008 (2008), No. 24, pp. 1-15.