Zhiren Jin

Zhiren Jin, Professor

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

Contact

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

  • A counterexample to the Yamabe problem on complete noncompact manifolds, Lecture notes 1306 (S.S. Chern, eds), Springer-Verlag, 1988, 93-101.
  • Non-existence results and estimates for elliptic systems, Indiana Uni. Math. J., 42, no 4 (1993), 1267-1295.
  • Principal eigenvalues with indefinite weight functions, Trans. Amer. Math. Soc., 349 (1997): 1945-1959.
  • (with Kirk Lancaster) Theorems of Phragmen-Lindelof type for Quasilinear Elliptic Equations, J. reine angew. Math, 514(1999), 165-197.
  • Growth rate estimates for solutions of a class of quasilinear elliptic equations, Indiana Univ. Math. J., 52 (2003), 1579-1594.
  • (with Kirk Lancaster) Convergent Rate of Solutions of Dirichlet Problems for Quasilinear Equations, Journal of the London Mathematical Society, 71(2005), 415-437.