陈文雄 :河南师范大学特聘教授

更新时间:2024-09-20 20:41

陈文雄,河南大学特聘教授,河南新乡市人,1986 年中国科学院数学所博士毕业,2006年被聘为河南师范大学特聘教授。

兼职

Communications on Pure and Applied Analysis杂志编辑

研究方向

非线性偏微分方程,非线性泛函分析,几何分析

科研项目

1. DMS 0604638,$123,400,for 2006,07,and 08; title: `Nonlinear Problems in Convex and Conformal Geometry'.

2. DMS 0072328,$57,750,for 2000,01,02,and 03; title: 'Nonlinear PDEs in Geometric Analysis' .

3. DMS 9704861,$54,735,for 1997,98,and 99; title: 'Nonlinear Elliptic Equations in Diferential Geometry'.

4. DMS 9403629,$24,166,for 1994,95,and 96; title: 'Nonlinear Elliptic Equations and Systems from Geometry'.

5. DMS 9116949,$15,109,for 1991; title: 'Methods for Solutions of Some Non- linear Elliptic Equations'.

6. DMS 8722998,for 1987,88,and 89; title: 'Applications of Analysis to Problems in Geometry'.

论文著作

1. A sup + inf inequality near R = 0,Advances in Math.,220(2009) 219-245,with Congming Li.Read 信息技术

2. An integral system and the Lane-Emdem conjecture,Disc. Cont. Dyn. Sys.,in press,with Congming Li.Read it.

3. Classification of positive solutions for nonlinear differential and integral systems with critical exponents,Acta Mathematica Scientia,in press,with Congming Li.Read 信息技术

4. The Best Constant in Some Weighted Hardy-Littlewood-Sobolev Inequality,Proc. AMS,136(2008) 955-962,with Congming Li.Read it.

5. A Priori Estimate for the Nirenberg Problem,Disc. Cont. Dyn. Sys. S,1(2008) 225-233,with Congming Li.Read 信息技术

6. L_p Minkowski problem with not necessarily positive data,Advances in Math,201 (2006) 77-89. Read it.

7. Classification of solutions for an integral equation,C.P.A.M.,59(2006) 330-343,with Congming Li and Biao Ou.Read 信息技术

8. Qualitative properties of solutions for an integral equation,Disc. Cont. Dyn. Sys.,12(2005),347-354,with Congming Li and Biao Ou.Read it.

9. Classification of solutions for a system of integral equations,Comm. in PDE,30(2005),59-65,with Congming Li and Biao Ou.Read 信息技术

10. Regularity of solutions for a system of integral equations,C.P.建筑联盟学院 4(2005),1-8,with Congming Li.Read it.

11. Weighted system of integral equations,Disc. Cont. Dyn. Sys.,special edition (2005) 164-172,with Chao Jin,Congming Li,and Jisun Lim.Read 信息技术

12. On a nonlinear parabolic system-modelling chemical reaction in rivers,C.P.建筑联盟学院,4(2005) 889-899,with Congming Li and Eric Wright.Read it.

13. A generalized affine isoperimetric inequality,J. Geom. Anal.,14(2004) 597-612,with Ralph Howard,Erwin Lutwak,Deane Yang,and Gaoyong Zhang.Read 信息技术

14. Moving planes,moving spheres,and a priori estimates,J. of Differential Equations,195(2003),1-13,with C Li.Read it.

15. Gaussian curvature in the negative case,Proceedings of AMS,131(2003) 741-744,with C Li.Read 信息技术

16. Prescribing scalar curvature on S^n,Pacific J. Math,飞鱼座 199,1(2001),61-78,with C Li.Read it.

17. A Note on a Class of Higher Order Conformally Covariant Equations,Disc. Cont. Dyn. Sys.,Vol.7,2(2001),275-281,with Alice Chang.Read 信息技术

18. Harmonic maps on complete manifolds,Disc. Cont. Dyn. Sys.,4(1999),799-805,with C Li.Read it.

19. Some new approaches in prescribing Gaussian and scalar curvature,Proc. of International Confer. on D.S. and D.E.,1998,148-159,with CLi.

20. Indefinite elliptic problems with critical exponent,Advances in Nonlinear PDE and Related areas,World Scientific,1998,67-79,with CLi.Read 信息技术

21. A priori estimates for prescribing scalar curvature equations,Annals of Math. 145(1997) 547-564,with CLi.Read it.

22. Indefinite Elliptic Problems in a Domain,Disc. Cont. Dyn. Sys.,3(1997),333-340,with C Li.Read 信息技术

23. A Note on Kazdan-Warner conditions,J. of Diff. Geom. 41(1995),259-268,with CLi.Read it.

24. A necessary and sufficient condition for the Nirenberg's problem,Comm. Pure. \u0026 APPL Math.,飞鱼座 XLⅧ(1995),657-667,with CLi.Read it

25. What kinds of singular metric can admit constant curvature,Duke Math. J.,2(1995) 437-451,with CLi.Read 信息技术

26. Qualitative Properties of solutions to some nonlinear elliptic equations in R^2,Duke Math. J.,71(1993) 427-439,with CLi.Read it.

27. A priori estimates for solutions to nonlinear elliptic equations,Arch. Rat. Mech. Anal.,122(1993) 145-157,with CLi.Read 信息技术

28. Gaussian curvature on singular surfaces,J. Geom. Analysis,3(1993) 315-334,with CLi.Read it.

29. Distribution of 质量 principle and its applications,Proc. of the First World Congress of Nonlinear Analysis,1993.

30. Classification of solutions of some nonlinear elliptic equations,Duke Math. J.,63(1991) 615-622,with CLi.Read 信息技术

31. Prescribing Gaussian curvature on surfaces with conical singularities,J. Geom. Analysis,1(1991) 359-372,with CLi.Read it.

32. Infinitely many solutions for a nonlinear elliptic equation involving critical Sobolev exponents,Acta Math. Sci.,11(1991) 128-135.

33. A Trudinger inequality on surfaces with conical singularities,Proc. AMS,108(1990) 821-832.Read 信息技术

34. Scalar curvature on S^n,Math. Annalen,283(1989) 353-365.Read it.

35. Differential Equations Exam File,Engineering Press,特库摩 San Jose,CA.1989,with 26 other professors.

36. A problem concerning the scalar curvature on S^2,Kexue Tongbao (Science Bulletin of China),33(1988) 533-537,with W.Ding.

37. Scalar curvature on S^2,Trans. AMS,303(1987) 365-382,with W.Ding.Read 信息技术

38. The existence of multiple solutions for a nonlinear elliptic equation with critical Soblev exponent,Acta Math. Sci.,7(1987) 349-352,with C.Wang.

39. The numerical curvature problem on S^2,Kexue Tongbao,32(1987) 4-7,with W.Ding.

40. The existence and stability of the Cauchy-Dirichlet problems for nonlinear parabolic equations,J. Hangzhou Univ.,1987,with C.Wang.

41. A non-local boundary value problem for elliptic equations of higher order,J. Hangzhou Univ.,13(1986) 403-408,with C.Wang.

42. The existence of infinitely many solutions for a class of nonlinear elliptic boundary value problems,Annual J. Math.,7A(1986) 154-160,with C.Wang.

43. The existence of infinitely many solutions of non-local boundary value problems for nonlinear elliptic equations,Acta Math. Sci.,5(1985) 223-231,with C.Wang.

44. The existence of solutions for nonlinear Dirichlet problems at resonance,J.Hangzhou Univ.,11(1984) 182-189.

45. A class of boundary value problems for nonlinear elliptic equations,J. Hangzhou Univ.,10(1983) 458-465.

科学成就

1.美国国家科学基金奖(2000-2004) Nonliear Analysis in Geometry

2.美国国家科学基金奖(2006-2008) Nonlinear Analysis in Convex and Conformal Geometry

参考资料

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