Publication list 1. Some remark on variational methods and super- sub- solutions, Hangzhou Univ. J. 12(1985), pp449-458. 2. Existence of solutions of nonlinear elliptic equations with critical exponents, Hangzhou Uni. J. 13(1986), pp 155-165. 3. A counterexample to the Yamabe problem on complete noncompact manifolds, Lecture notes 1306 (S.S. Chern, eds), Springer-verlag, 1988, pp93-101. 4. (with J. Kazdan) On the rank of harmonic maps, Math. Z. 207(1991), 535-537. 5. Liouville theorems for harmonic maps, Invent. Math. 108(1992), 1-10. 6. An unique continuation property on the boundary for solutions of elliptic equation, Trans. Amer. Math. Soc. 336, no 2 (1993), 639-653. 7. A relation between the size of a domain and the solvability of Dirichlet problems for semilinear elliptic equations on the domain, Indiana Uni. Math. J., vol 42, no 1 (1993), 259-282. 8. Prescribing scalar curvature on conformal classes of complete metrics with negative curvature, Trans. Amer. Math. Soc., vol 340, no 2 (1993), 785-810. 9. Non-existence results and ${\rm{L}}^{\infty}$ estimates for elliptic systems, Indiana Uni. Math. J., vol 42, no 4 (1993), 1267-1295. 10. A truncation method for semilinear elliptic equations, Comm. Partial Differential Equations, vol 19, no 3\& 4 (1994), 605-616. 11.Solvability of semilinear elliptic equations on certain domains, Pacific Journal of Mathematics, vol 176, no 1 (1996), 117-128. 12.Principal eigenvalues with indefinite weight functions, Trans. Amer. Math. Soc., 349 (1997): 1945-1959. 13. Multiple solutions for a class of semilinear elliptic equations, Proc. Amer. Math. Soc., 125 (1997):3659-3667. 14.(with Kirk Lancaster) Behavior of solutions for some Dirichlet problems near reentrant corners, Indiana Uni. Math. J., {\bf{46}} (1997), 827-862. 15.(with Kirk Lancaster) A comparison principle for quasilinear elliptic equations and its application, Pacific J. Math., 184 (1998), 279-294. 16. Solutions for a class of singular semilinear elliptic equations, Nonlinear Analysis, 31 (1998), 475-492. 17. (with Kirk Lancaster) Theorems of Phragm{\`e}n-Lindel{\"o}f type for Quasilinear Elliptic Equations, J. reine angew. Math, 514(1999), 165-197. 18. (with Kirk Lancaster) Phragm{\'e}n-Lindel{\"o}f theorems and the asymptotic behavior of solutions of quasilinear elliptic equations in slabs, the Royal Society of Edingburgh Proceedings A, 130A(2000), 335-373. 19. (with Kirk Lancaster) The convergent rate of solutions of quasilinear elliptic equations in slabs, Communication in Partial Differential Equations, 25(5&6)(2000), 957-985. 20. (with Kirk Lancaster) A maximum principle for solutions of a class of quasilinear elliptic equations on unbounded domains, Communication in Partial Differential Equations, 27(7&8)(2002), 1271-1281. 21. (with Kirk Lancaster) Phragm{\'e}n-Lindel{\"o}f theorems and the behavior at infinity of solutions of non-hyperbolic equations, Pacific J. of Math., 211(2003), 101-121. 22. (with Hasan Almefleh and Kirk Lancaster) Asymptotic behavior of solutions of certain equations}, Communication on Applied Nonlinear Analysis, 10(2003), 73-79. 23. Existence of positive solutions for Dirichlet problems of some singular elliptic equations, Electron. J. Diff. Eqns., 2003(2003), No. 49, pp. 1-16. 24. Growth rate estimates for solutions of a class of quasilinear elliptic equations, Indiana Univ. Math. J., {\bf{52}} (2003), 1579-1594 25. Rate of convergence for solutions to Dirichlet problems of quasilinear equations, Electron. J. Diff. Eqns., 2003(2003), No. 122, pp. 1-14. 26. (with Kirk Lancaster) Convergent Rate of Solutions of Dirichlet Problems for Quasilinear Equations, Journal of the London Mathematical Society, 71(2005), pp.415-437. 27. Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains, Electron. J. Diff. Eqns., Vol. 2005(2005), No. 109, pp. 1-12. 28. Existence of solutions of the prescribed mean curvature equation on unbounded domains, Proceedings of the Royal Society of Edingburgh, 136A (2006), pp. 157-179. 29. A lower bound for principal eigenvalues in parabola-shaped regions, Proceedings of the Royal Society of Edinburgh, 138A (2008), pp. 787-799. 30. Growth rate estimates and existence of solutions for the Dirichlet problem for the prescribed mean curvature equation on unbouned domains, Electron. J. Diff. Eqns., Vol. 2008(2008), No. 24, pp. 1-15.