个人简历

个人简历
陈文雄，男，1952年5月生，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。
科研成果与奖励
1．美国国家科学基金奖（2000-2004）NonliearAnalysisinGeometry
2．美国国家科学基金奖（2006-2008）NonlinearAnalysisinConvexandConformalGeometry
科研项目
1.DMS0604638,$123,400,for2006,07,and08;title:`NonlinearProblemsinConvexandConformalGeometry'.
2.DMS0072328,$57,750,for2000,01,02,and03;title:'NonlinearPDEsinGeometricAnalysis'.
3.DMS9704861,$54,735,for1997,98,and99;title:'NonlinearEllipticEquationsinDiferentialGeometry'.
4.DMS9403629,$24,166,for1994,95,and96;title:'NonlinearEllipticEquationsandSystemsfromGeometry'.
5.DMS9116949,$15,109,for1991;title:'MethodsforSolutionsofSomeNon-linearEllipticEquations'.
6.DMS8722998,for1987,88,and89;title:'ApplicationsofAnalysistoProblemsinGeometry'.

研究领域

非线性偏微分方程，非线性泛函分析，几何分析

近期论文

1.Asup+infinequalitynearR=0,AdvancesinMath.,220(2009)219-245,withCongmingLi.Readit.
2.AnintegralsystemandtheLane-Emdemconjecture,Disc.Cont.Dyn.Sys.,inpress,withCongmingLi.Readit.
3.Classificationofpositivesolutionsfornonlineardifferentialandintegralsystemswithcriticalexponents,ActaMathematicaScientia,inpress,withCongmingLi.Readit.
4.TheBestConstantinSomeWeightedHardy-Littlewood-SobolevInequality,Proc.AMS,136(2008)955-962,withCongmingLi.Readit.
5.APrioriEstimatefortheNirenbergProblem,Disc.Cont.Dyn.Sys.S,1(2008)225-233,withCongmingLi.Readit.
6.L_pMinkowskiproblemwithnotnecessarilypositivedata,AdvancesinMath,201(2006)77-89.Readit.
7.Classificationofsolutionsforanintegralequation,C.P.A.M.,59(2006)330-343,withCongmingLiandBiaoOu.Readit.
8.Qualitativepropertiesofsolutionsforanintegralequation,Disc.Cont.Dyn.Sys.,12(2005),347-354,withCongmingLiandBiaoOu.Readit.
9.Classificationofsolutionsforasystemofintegralequations,Comm.inPDE,30(2005),59-65,withCongmingLiandBiaoOu.Readit.
10.Regularityofsolutionsforasystemofintegralequations,C.P.A.A.4(2005),1-8,withCongmingLi.Readit.
11.Weightedsystemofintegralequations,Disc.Cont.Dyn.Sys.,specialedition(2005)164-172,withChaoJin,CongmingLi,andJisunLim.Readit.
12.Onanonlinearparabolicsystem-modellingchemicalreactioninrivers,C.P.A.A.,4(2005)889-899,withCongmingLiandEricWright.Readit.
13.Ageneralizedaffineisoperimetricinequality,J.Geom.Anal.,14(2004)597-612,withRalphHoward,ErwinLutwak,DeaneYang,andGaoyongZhang.Readit.
14.Movingplanes,movingspheres,andaprioriestimates,J.ofDifferentialEquations,195(2003),1-13,withC.Li.Readit.
15.Gaussiancurvatureinthenegativecase,ProceedingsofAMS,131(2003)741-744,withC.Li.Readit.
16.PrescribingscalarcurvatureonS^n,PacificJ.Math,Vol.199,1(2001),61-78,withC.Li.Readit.
17.ANoteonaClassofHigherOrderConformallyCovariantEquations,Disc.Cont.Dyn.Sys.,Vol.7,2(2001),275-281,withAliceChang.Readit.
18.Harmonicmapsoncompletemanifolds,Disc.Cont.Dyn.Sys.,4(1999),799-805,withC.Li.Readit.
19.SomenewapproachesinprescribingGaussianandscalarcurvature,Proc.ofInternationalConfer.onD.S.andD.E.,1998,148-159,withC.Li.
20.Indefiniteellipticproblemswithcriticalexponent,AdvancesinNonlinearPDEandRelatedAreas,WorldScientific,1998,67-79,withC.Li.Readit.
21.Aprioriestimatesforprescribingscalarcurvatureequations,AnnalsofMath.145(1997)547-564,withC.Li.Readit.
22.IndefiniteEllipticProblemsinaDomain,Disc.Cont.Dyn.Sys.,3(1997),333-340,withC.Li.Readit.
23.ANoteonKazdan-Warnerconditions,J.ofDiff.Geom.41(1995),259-268,withC.Li.Readit.
24.AnecessaryandsufficientconditionfortheNirenberg'sproblem,Comm.Pure.&Appl.Math.,Vol.XLVIII(1995),657-667,withC.Li.Readit
25.Whatkindsofsingularmetriccanadmitconstantcurvature,DukeMath.J.,2(1995)437-451,withC.Li.Readit.
26.QualitativePropertiesofsolutionstosomenonlinearellipticequationsinR^2,DukeMath.J.,71(1993)427-439,withC.Li.Readit.
27.Aprioriestimatesforsolutionstononlinearellipticequations,Arch.Rat.Mech.Anal.,122(1993)145-157,withC.Li.Readit.
28.Gaussiancurvatureonsingularsurfaces,J.Geom.Analysis,3(1993)315-334,withC.Li.Readit.
29.Distributionofmassprincipleanditsapplications,Proc.oftheFirstWorldCongressofNonlinearAnalysis,1993.
30.Classificationofsolutionsofsomenonlinearellipticequations,DukeMath.J.,63(1991)615-622,withC.Li.Readit.
31.PrescribingGaussiancurvatureonsurfaceswithconicalsingularities,J.Geom.Analysis,1(1991)359-372,withC.Li.Readit.
32.InfinitelymanysolutionsforanonlinearellipticequationinvolvingcriticalSobolevexponents,ActaMath.Sci.,11(1991)128-135.
33.ATrudingerinequalityonsurfaceswithconicalsingularities,Proc.AMS,108(1990)821-832.Readit.
34.ScalarcurvatureonS^n,Math.Annalen,283(1989)353-365.Readit.
35.DifferentialEquationsExamFile,EngineeringPress,Inc.SanJose,CA.1989,with26otherprofessors.
36.AproblemconcerningthescalarcurvatureonS^2,KexueTongbao(ScienceBulletinofChina),33(1988)533-537,withW.Ding.
37.ScalarcurvatureonS^2,Trans.AMS,303(1987)365-382,withW.Ding.Readit.
38.TheexistenceofmultiplesolutionsforanonlinearellipticequationwithcriticalSoblevexponent,ActaMath.Sci.,7(1987)349-352,withC.Wang.
39.ThenumericalcurvatureproblemonS^2,KexueTongbao,32(1987)4-7,withW.Ding.
40.TheexistenceandstabilityoftheCauchy-Dirichletproblemsfornonlinearparabolicequations,J.HangzhouUniv.,1987,withC.Wang.
41.Anon-localboundaryvalueproblemforellipticequationsofhigherorder,J.HangzhouUniv.,13(1986)403-408,withC.Wang.
42.Theexistenceofinfinitelymanysolutionsforaclassofnonlinearellipticboundaryvalueproblems,AnnualJ.Math.,7A(1986)154-160,withC.Wang.
43.Theexistenceofinfinitelymanysolutionsofnon-localboundaryvalueproblemsfornonlinearellipticequations,ActaMath.Sci.,5(1985)223-231,withC.Wang.
44.TheexistenceofsolutionsfornonlinearDirichletproblemsatresonance,J.HangzhouUniv.,11(1984)182-189.
45.Aclassofboundaryvalueproblemsfornonlinearellipticequations,J.HangzhouUniv.,10(1983)458-465.
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