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DEPARTMENT OF MATHEMATICS, STATISTICS, AND PHYSICS

Zhiren Jin, Professor

Partial Differential Equations and Geometric Analysis; PhD, University of Pennsylvania, 1990

 

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Research

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.

 

Selected Publications

  • 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.