List of publications for Xu Xingwang

  1. Riemannian Manifolds without Focal Points, Journal of Nanjing University, Mathematical Biquarterly 1 (1984), no. 1, 102--114 (in Chinese).
  2. Prescribing a Ricci tensor in a conformal class of Riemannian metrics, Proceedings of the American Mathematical Society, 115, (1992), no. 2, 455--459; Corrigendum, 118 (1993), 333.
  3. Remarks on Gaussian curvature on $S^2$ (with Paul Yang), Transactions of the American Mathematical Society, 336, (1993), 831--840.
  4. On existence and uniqueness of the solutions of the Mobius equation, Transactions of the American Mathematical Society, 337, (1993), 927-945.
  5. (with Paul C Yang), A construction of m-harmonic maps of Spheres, International Journal of Mathematics, 4, (1993), 521-533.
  6. (with Roger R C Chen), Some examples of the m-harmonic maps between ellipsoids, Proceedings of International conference on Nonlinear Partial Differential Equations(Zhejiang University, China), World Scientific Publishing Co., 1993, 1-8.
  7. (with Roger R C Chen), Prescribing Gaussian curvature on $S^2$, Proceedings of the Daewoo Mathematics Workshop ( South Korea), South Korea, 1992, 61-67.
  8. (with Roger R C Chen), On the m-harmonic representatives of maps between ellipsoids, Proceedings of the Daewoo Mathematics Workshop ( South Korea), South Korea, 1992, 49-60.
  9. On the existence of the extremal metrics, Pacific Journal of Mathematics, 174, (1996), 555 - 568.
  10. Integral estimates of conformal metrics, Proceeding Of the American Mathematical Society, 124, (1996), 315 - 324.
  11. On Compactness of isospectral conformal metrics of 4-manifolds, Nagoya Mathematical Journal, 140, (1995),77-99.
  12. On Compactness of isospectral conformal metrics of 4-Sphere, Communication in Analysis and Geometry, 3, (1995),335-370.
  13. (with Pan Xingbin) Least Energy Solutions Of Semilinear Neumann Problems And Asymptotics, Journal of Mathematical analysis and applications, 201, (1996), 532-554.
  14. (with Roger R C Chen) On compactness of conformal isospectral metrics and isospectral potentials, Duke Journal of Math., 84, (1996), 131- 154.
  15. (with Alice S Y Chang and Paul Yang) A perturbation result for prescribing mean curvature equations, Math. Ann. 310 (1998), 473-496.
  16. Classification of solutions of certain fourth order nonlinear elliptic equations in $R^4$, Pacific Journal of Mathematics, 225 361-378.
  17. (with J. Wei) Classification of solutions of higher order conformally invariant equations, Math. Ann., 313 (1999), 207-228.
  18. (with J. Wei) On conformal deformations of metrics on $S^n$, Journal of Functional Analysis, 157 (1998), 292-325.
  19. (with G. Lu and J. Wei) On conformally invariant equation $(-\Delta)^p u - K(x) u^{(p+2n)/(p-2n)} = 0$ and its generalizations, Ann. MAT. Pura. Appl., 179 (2001) 309-329.
  20. Uniqueness Theorem for the entire positive solutions of biharmonic equations in $R^n$, Proceedings of the Royal Society of Edinburgh, Mathematics A, 130A (2000), 651-670.
  21. (with Paul Yang) Conformal energy in dimension four, Math. Ann., 324 (2002), 731-742.
  22. (with Paul Yang) Positivity of Paneitz operators, Discrete and Continuous Dynamical Systems, 7 (2001), 329-342.
  23. (with Y. S. Choi) Nonlinear biharmonic equations with negative exponents, Submitted .
  24. On non-existence of positive solutions of nonlinear polyharmonic equations, Differential Equations and Computational Simulations (Chengdu, 1999), 378-382.
  25. (with Ma Li) Positive solutions of a logistic equation on unbounded intervals, Proc. Amer. Math. Soc. 130 (2002), 2947-2958.
  26. (with J. Wei) Uniqueness and A priori estimates for some nonlinear elliptic Neumann equations in R^3, Pacific Journal of Mathematics, to appear
  27. (With Paul Yang) On a fourth order equation in 3D, Esaim: COCV JLL, 8 (2002), 1029-1042.
  28. (with H. Jian) The vortex dynamics of a Ginzburg-Landau system under pinning effect, Science in China (Series A), 46 (2003), 488-498.
  29. Exact Solutions of Non-linear Conformally Invariant Integral Equation in R^3, Advances in Mathematics, 194 (2005), 485-503.
  30. Uniqueness and Non-existence theorems for Conformally Invariant Equations, Journal of Functional Analysis, 222 (2005), 1-28.
  31. Uniqueness Theorem on Integral Equations and Its Application, Journal of Functional Analysis, , .
  32. (with Juncheng Wei) Prescribing Q-curvature problem on S^n, submitted
  33. (with Ge Yuxin) Prescribed Q-curvature problem on closed Riemannian manifolds in the null case, preprint.
  34. On the Chern-Gauss-Bonnet formula for complete locally conformally flat manifolds with finitely many simple ends, submitted.
  35. (with Juncheng Wei) A classfication problem and prescribing geodesic curvature problem on R^1, submitted.
  36. (with Frank Pacard) Constant Mean Curvature spheres in Riemannian manifolds, preprint.

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Xu Xingwang <matxuxw@math.nus.sg>
Last Modified: February 21, 2007