课程组成员简介

1、课程组成员简介：李工宝：院长，博士生导师，享受国务院特殊津贴；现任校级精品课实变函数项目的负责人，实变函数课程组组长，数学分析、复变函数和泛函分析课程组成员。主持国家科技部重大基础研究前期研究专项基金1项；国家自然科学基金项目4项，中科院“九五”重点项目1项，；获省部级奖2项，1994年被中科院批准为“有突出贡献的中青年专家”，1996年被国家人事部等七部委批准为全国“千百万人才工程”19951996年第一二层次人选；发表论文近50余篇，其中SCI论文 近30余篇。长期从事研究生和本科生基础数学课程的教学，偏微分方程的教学与研究，教学投入，效果显著。科研项目与奖励1 1989年1月至1991年

2、12月： 国家自然科学基金（青年基金）， 项目主持人 2 1997年1月至2000年12月： 中国科学院“九五”重点项目， 项目主持人3 1996年1月至1998年12月： 国家自然科学基金（面上基金）， 项目主持人4 2000年1月至2002年12月： 国家自然科学基金（面上基金）， 项目主持人5 2003年1月至2005年12月： 国家自然科学基金（面上基金）， 项目主持人6 2003年1月至2004年12月: 国家科技部重大基础研究前期研究专项“非线性偏微分方程的若干问题”， 项目主持人7 “无界域上非线性椭圆型方程研究”获1991年中国科学院自然科学二等奖（排名第一）8 “非线性椭圆问

3、题型解的存在性及其性质研究”获湖北省2000年自然科学二等奖（排名第一）9 1992年10 月至今: 享受国务院政府特殊津贴10 1994年被中国科学院批准为“有突出贡献的中青年专家”101996年被国家人事部等七部委批准为全国“百千万人才工程”1995/1996年第一二层次人选教学情况：国内：1 实变函数（本科生课程，华中师范大学数学与统计学院，2005。2-2005。7）2 二阶椭圆型偏微分方程（研究生课程，中国科学院武汉数学物理研究所，1995。9-1996。1， 中国科学院武汉物理与数学研究所1997。2-1997。7）3 Elliptic Partial Differential E

4、quations，（研究生课程，中国科学院武汉物理与数学研究所， 2004。9-2005。1）4 Measure theory and fine properties of fucntions（研究生课程，中国科学院武汉物理与数学研究所，华中师范大学数学与统计学院2003。9-2005。1）国外；1. Partial Differential Equations本科生课程， 芬兰Jyvaskyla大学数学系，1989年4月至8月；芬兰Helsinki大学数学系1996。9。1996。12） 2. Ordinary Differential Equations，本科生课程, 美国康州大学数学系(

5、1989月至19Jyvaskyla大学数学系(1992.9-1992.12,)芬兰Helsinki大学(Sept.1997 - Dec.1997 Sept.2001 -Dec.2001 Sept.2002 - Dec.20023Approbatur(I) 本科生课程(Calculus) 芬兰Helsinki大学数学系,Spet.1994 - Dec.1994, Sept.1996 ,Dec.1996 Sept.1998 - Dec.1998 Sept.2000 - Dec.2000;4 Finite Mathematics 美国康州大学数学系 本科生课程, 1989月至1989年12月,5.

6、Linear Algebra . 美国康州大学数学系 本科生课程,1990.1.-1990.56. Real Analysis and PDE (研究生短课程, 芬兰Helsinki大学数学系 Sept.1996 - Dec.1996.Sept.1997- Dec.1997)发表论文目录1 Some results on Calculus of Variation in Certain Orlicz Sobolev spaces, Acta Math. Sci., 6(1986)45-65.2 Nonzero critical points of the functional I(u)=

7、42;WF(x,u,Du,Dmu)dx in WLf(W), Acta Math. Sci.(Chinese edition),7(1987),2,207-2193 Nontrivial solutions of quasilinear elliptic equations in W, Acta Math. Sci. 7(1987)3, 329-339.4 Mutiple critical points of perturbed symmetric functionals in W, Acta Math. Sci. 7(1987)4, 431-445.5 Eigenvalue problems

8、 of quasilinear elliptic systems in Rn, Revista Mathematica Iberoamericana 6 Nontrivial solutions of nonlinear scalar field equations with strong nonlinearity, Acta Math. Sci.,8(1988) 4,431-448(With Zhu Xi-Ping).7 The existence of infinitely many solutions of quasilinear partial differential equatio

9、ns in unbounded domains, Acta Math. Sci., 9(1989) 2,175-188.8 Eigenvalue problems for quasilinear elliptic equations on Rn, Commun. in PDE.14(1989) (8&9) 1291-1314(1989)(With Yan Shusen).(SCI)9 Bifurcation for quasilinear elliptic equations on Rn with natural growth condition, Proceedings of the

10、 Royal Society of Edinburgh 113A(1989),215-228(with Cao Daomin and Yan Shusen).(SCI)10 Existence of nontrivial solution of quasilinear elliptic eigenvalue problem on Rn with natural growth condition, Acta Math. Sci. 10(1990) 2,121-134(With Yan Shusen).11 Eigenvalue problem for field equation involvi

11、ng limiting nonlinearity, Acta Math. Sci. 10(1990)4, 432-447(With Yan Shusen).12 Some properties of weak solutions of nonlinear Scalar field equations, Annales Acade. Sci. Fennice, Ser. A. I. Math. Vol.15 (1990)27-36.13 A minimization problem involving a critical Sobolev exponent and its related Eul

12、er-Lagrange equation, Arch.Rational Mech. Anal., 114(1991) 365-381(With Yan Shusen).(SCI)14 Partial regularity for weak solution of quasilinear elliptic system, Chinese Science Bulletin15 C1,a Partial regularity for solutions of nonlinear elliptic Systems, Acta Math. Sci. Vol.12 (1992)57-69(With Yan

13、 Shusen).16 On a variational problem proposed by H.Brezis, Nonlinear Analysis, TMA. Vol.20, NO9, PP1145-1156,(1993)(With Cao Daomin).(SCI)17 The existence of a weak solution of quasilinear elliptic equation with critical Sobolev exponent on unbounded domains, Acta Math.Sci.14(1994) No.1,64-74.18 L&#

14、165; estimate for solutions to nonlinear elliptic equation on Rn, Acta Math. Sci., 14(1994) No.1,75-81.19 Local and global integrability of gradients in obstacle problems, Annales Acade. Sci. Fennice, Ser. A. I. Math. Vol.19 (1994) , 25-34(with Olli Martio).20 Multiple solutions for nonhomogeneous e

15、lliptic equations involving critical Sobolev exponent, Proc. Royal. Soc. of Edinburgh, 124A (1994) 1177-1191,(with Cao DaoMin and Zhou HuanSong).(SCI)21 Talks on distance, People's Education Press, Beijing(1985) (with Ding Xiaxi).22 The existence of weak solution of inhomogenous quaslinear ellip

16、tic equation with critical growth conditions, Acta Math. Sinica23 Stability in Obstacle Problems, Math. Scand.75(1994),87-100(with Olli Martio).24 The existence of two solutions to quasilinear elliptic equations on Rn, Preprint 163(1993) Dept of Math., Univ of Jyvaskyla(with Cao Daomin, Zhou HuanSon

17、g), Chinese Ann. of Math. 17(A), 4(1996), 475-48225 Convergence properties of supersolutions and A-superharmonic functions, (with Olli Martio), Nonlinear Anal., TMA.,Vol.28,No.3 (1997)pp.453-462.(SCI)26 A note on the number of the positive solutions of some nonlinear elliptic problems, (With Cao Dao

18、min & Zhong Xiao), Nonlinear Analysis, TMA. Vol. 27,No.9,(1996)pp 1095-1108,(SCI)27 Global Gradient Bounds For Relaxed Variational Problems,(with Martin Fuchs) Manuscripta Math.,92,287-302 (1997)(SCI)28 Second order obstacle problems for vectorial functions and integrands with subquadratic growt

19、h, Ann. Acad. Sci. Fenn. Ser. A. I. Math.I Vol.23(1998) 549-558(with martin Fuchs and Olli Martio)29 Stability of solutions of varying degenerate elliptic equations (with Olli Martio),. Vol.47, No.3(1998),873-891, (SCI)30 Variatioanl inequalities for energy functionals with nonstandard growth condit

20、ions, Abstract & Applied Analysis Vol.3,Non.1-2, (1998)pp.41-6431 L -bounds for elliptic equations on Orlicz-Sobolev spaces, (with Matin Fuchs) Archiv der Mathematik 72(1999) 293-297.32 Stability of harmonic measures, (with Olli Martio), Complex Variables Vol.41(2000),pp345-35833 Estimates for p

21、-Poisson equations , (with Tero Kilpelainen),Diff. and Integral Equations ,Vol.13(4-6) April-June(2000),pp791-80034 The existence of a positive solution to asymptotically linear scalar field equations( with Zhou Huan-Song) , Proc. Royal Soc. Edin., 130A.(2000)81-105(SCI)35 Asymptotically linear Diri

22、chlet problem for p-Laplacian, (with Zhou Huan-song) Nonlinear Analysis,TMA 43 (2001)1043-1055 , (SCI)36 Uniqueness of solutions with very weak boundary values ( with Olli Martio), Nonlinear Analysis51(2002)693-70137 Multiple solutions to p-Laplacian problem with asymptotic nonlinearity as up-1 at i

23、nfinity, ( with Zhou Huan-Song) J. London Math. Soc.(2)65(2002)123-13838 Stability and higher integrability of derivatives of solutions in double obstacle problems ,( with Olli Martio) , (SCI)39 Approximation and stability of Perron solutions in nonlinear potential theory, ( with Olli Martio), Repor

24、ts of the Dept. of Math. , Univ. of Helsinki, Preprint 279, Feb. 200140 An asymptotically periodic Schrodinger equation with indefinite linear part, ( with Andrzej Szulkin) 41 The existence of solutions of quasilinear elliptic equations with change of sign,( with Yu Chun) , Acta Math.Sci.2001,21B(4)

25、,469-482 42 The role of the domain topology on the number of positive solutions to asymptotically linear elliptic problems, Papers on Analysis: A volume dedicated to Olli Martio on the occasion of his 60th birthday ,(with Zheng Gaofeng) Report. Univ. Jyvaskyla 83(2001)pp.255-27943 An elliptic problem with critical growth in domains with shrinking holes,( with Shusen Yan and Jianfu Yang) , J.Diff. Equations 198(2004)275-3