向长林
近期热点
资料介绍
个人简历
个人简介1、学习经历2010.9-2015.9,芬兰于韦斯屈莱大学数学系,基础数学,博士研究生2007.9-2010.6,华中师范大学数学系,应用数学硕士研究生2003.9-2007.6,华中师范大学数学系,本科2、工作经历2018.9-2019.7,华中师范大学,访问学者2017.6-2017.7,华中师范大学,访问学者2016.9-至今,长江大学数学系,副教授2015.10-2016.8,芬兰于韦斯屈莱大学数学系,博士后近五年的教学情况及成果1、讲授的主要课程本科生课程:《数学分析》,《数学物理方程》本系研究生课程:《现代偏微分方程入门》外系研究生课程:《数学物理方程》2、承担的实践性教学任务(1)指导2017年本科生毕业论文,4人;(2)指导2019年本科生毕业论文,2人研究领域
非线性椭圆型偏微分方程,变分法,几何分析"承担的学术研究课题(1)Kirchhoff方程奇异摄动问题的研究(11701045),国家自然科学青年基金项目,2018.01~2020.12,主持人"近期论文
(1)AsingularlyperturbedKirchhoffproblemrevisited.J.DifferentialEquations2019.https://doi.org/10.1016/j.jde.2019.08.016(GongbaoLi,PengLuo,ShuangjiePeng,ChunhuaWang)(2)Multi-peakpositivesolutionstoaclassofKirchhoffequations.Proc.Roy.Soc.EdinburghSect.A149(2019),1097-1122.(withPengLuo,ShuangjiePeng,ChunhuaWang)(3)Someregularityresultsforp-harmonicmappingsbetweenRiemannianmanifolds.NonlinearAnalysis188(2019),405-424.(WithChang-YuGuo)(4)Regularityofquasi-n-harmonicmappingsintoNPCspaces.AnnalidiMatematica198(2019),367-380.(WithChang-YuGuo)(3)NondegeneracyofpositivesolutionstoaKirchhoffproblemwithcriticalSobolevgrowth.AppliedMathematicsLetters86(2018),270-275.(WithGongbaoLi)(4)UniquenessofpositivesolutionstosomenonlinearNeumannproblems.J.Math.Anal.Appl.,455(2017),1835-1847.(withYouyanWan)(5)NonlinearLiouvilleproblemsinaquarterplane.Int.Math.Res.Not.IMRN2017,2207-2218.(6)GradientestimatesforsolutionstoquasilinearellipticequationswithcriticalSobolevgrowthandHardypotential.ActaMath.Sci.Ser.BEngl.Ed.37(2017),58-68.(7)UniquenessandnondegeneracyofgroundstatesforChoquardequationsinthreedimensions.Calc.Val.PartialDifferentialEquations55(2016),55:134.(8)RemarksonnondegeneracyofgroundstatesforquasilinearSchrodingerequations.DiscreteContin.Dyn.Syst.36(2016),5789-5800.(9)Uniquenessofpositiveradialsolutionstosingularcriticalgrowthquasilinearellipticequations.Ann.Acad.Sci.Fenn.Math.41(2016),143-166.(withCheng-JunHe)(10)Infinitelymanysolutionsforp-Laplacianequationinvolvingdoublecriticaltermsandboundarygeometry.Ann.Acad.Sci.Fenn.Math.41(2016),973-1004.(withChunhuaWang)(11)AnoteonasymptoticbehaviorsofsolutionstoquasilinearellipticequationswithHardypotential.J.Math.Anal.Appl.,441(1)(2016),211-234.(withCheng-JunHe)(12)-variationalproblemsassociatedtomeasurableFinslerstructures.NonlinearAnal.132(2016),126-140.(withChang-YuGuoandDachunYang)(13)QuantitativepropertiesonthesteadystatestoaSchrodinger-Poisson-Slatersystem.ActaMath.Sin.(Engl.Ser.)31(2015),1845-1856.(14)AsymptoticbehaviorsofsolutionstoquasilinearellipticequationswithcriticalSobolevgrowthandHardypotential.J.DifferentialEquations259(2015),3929-3954. 相关热点