魏雷
教授 硕士生导师
个人简介
魏雷男，汉族，
1978年11月出生，江苏邳州人。
1997年9月-2004年6月徐州师范大学本科、硕士
2010年3月于东南大学数学系取得理学博士学位
2011年9月-2017年6月江苏师范大学数学与统计学院副教授
2012年6月-2012年9月访问美国德克萨斯大学泛美分校
2014年2月-2015年2月访问澳大利亚新英格兰大学
2017年7月-至今江苏师范大学数学与统计学院教授、硕士生导师主持参与基金情况：
国家自然科学基金面上项目，椭圆型偏微分方程中若干奇异问题的研究，主持，2019-2022
国家自然科学基金面上项目，具有时空周期性和奇异性反应扩散方程若干问题的研究，参与，2013-2016
国家自然科学基金面上项目，非线性方程中的拓扑与变分方法，参与，2012-2015
国家自然科学基金天元基金，含Hardy位势的边界爆破问题的定性研究，主持，2012-2012
江苏省高校自然科学基金，带Hardy位势的椭圆型方程边界爆破的定性研究，主持，2011-2013
研究领域
非线性椭圆方程、反应扩散方程
近期论文
HaihuaLu,LeiWei,Cheng-ChengZhu,Freeboundaryproblemsofthelogisticequationwithnonlocaldiffusioncoefficient,submitted.
YujuanChen,LeiWei,YiminZhang,Aysmptoticbehaviorandsymmetryofpositivesolutionstoquasilinearequationsinahalf-space,submitted.
ChengTan,LeiWei,UniquenessandasymptoticbehaviorofpositivesolutionstoquasilinearellipticproblemswithHardypotential,submitted.
LeiWei,YihongDu,Positivesolutionsofellipticequationswithastrongsingularpotential,Bull.LondonMath.Soc.51(2019),251-266.
LeiWei,ZengjiDu,Uniquenessandlocalpropertiesofpositivesolutionstoasemilinearellipticequationwithsingularpotential,CommunicationinContemporaryMathematics,21(5)(2019),21pp.
YihongDu,LeiWei,LingZhou,Spreadinginashiftingenvironmentmodeledbythediffusivelogisticequationwithafreeboundary,J.DynamicsandDifferentialEquations,30(2018),1389-1426.
HaihuaLu,LeiWei,Globalexistenceandblow-upofpositivesolutionsofaparabolicproblemwithfreeboundaries,NonlinearAnalysis:RealWorldApplications,39(2018),77-92.
WeiweiDing,RuiPeng,LeiWei,Thediffusivelogisticmodelwithafreeboundaryinaheterogeneoustime-peiodicenvironment,J.DifferentialEquations,263(2017),2736-2779.
RuiPeng,XianfaSong,LeiWei,Existence,nonexistenceanduniquenessofpositivestationarysolutionsofasingularGierer-Meinhardtsystem,DiscreteContin.Dyn.Syst.,37(2017),4489-4505.
LeiWei,YihongDu,ExactsingularbehaviorofpositivesolutionstononlinearellipticequationswithaHardypotential,J.DifferentialEquations,262(2017),3864-3886.
LeiWei,XiyouCheng,Z.Feng,Exactbehaviorofpositivesolutionstoellipticequationswithmulti-singularinversesquarepotentials,DiscreteContin.Dyn.Syst.,36(2016),7169-7189.
LeiWei,Asymptoticbehaviorandsymmetryofpositivesolutionstononlinearellipticequationsinahalf-space,Proc.Roy.Soc.EdinburghSect.A,146(2016),1243-1263.
LeiWei,GuanghuiZhang,MaolinZhou,Longtimebehaviorforsolutionsofthediffusivelogisticequationwithadvectionandfreeboundary,Calc.Var.PartialDifferentialEquations.,4(55)(2016)
LeiWei,XiyouCheng,Z.Feng,ExistenceandbehaviorofpositivesolutionstoellipticsystemwithHardypotential,Electron.J.Diff.Equ.,223(2016),1-14.
YihongDu,LeiWei,BoundarybehaviorofpositivesolutionstononlinearellipticequationswithHardypotential,J.LondonMath.Soc.91(2015),731–749.
LeiWei,ZhaoshengFeng,Isolatedsingularityforsemilinearellipticequations,DiscreteContin.Dyn.Syst.,35(2015),3239-3252.
XiyouCheng,LeiWei,Dynamicsofthep-Laplacianequationswithnonlineardynamicboundaryconditions,ElectronicJournalofDifferentialEquations,37(2015),1-15.
LeiWei,ZhaoshengFeng,Existenceandnonexistenceofsolutionsforquasilinearellipticsystems,DynamicsofPDE,10(2013),25-42.
LeiWei,JiangZhu,Theexistenceandblow-uprateoflargesolutionsofone-dimensionalp-Laplacianequations，NonlinearAnalysis:RealWorldApplications,13(2012),665-676.
LeiWei,Theexistenceoflargesolutionsofsemilinearellipticequationswithnegativeexponents,NonlineaeAnalysis:TMA,73(2010),1739-1746.
LeiWei,MingxinWang,JiangZhu,Multiplenontrivialsolutionsforaclassofp-Laplacianequations,ActaApplicandaeMathematicae,110(2010),1153-1167.
LeiWei,MingxinWang,Existenceoflargesolutionsofaclassofquasilinearellipticequationswithsingularboundary,ActaMathematicaHungarica,129(2010),81-95.
LeiWei,MingxinWang,Existenceandestimateoflargesolutionsforanellipticsystem,NonlinearAnalysis:TMA,72(2009),1096-1104.
MingxinWang,LeiWei,Existenceandboundaryblow-upratesofsolutionsforboundaryblow-upellipticsystems,NonlinearAnalysis:TMA，71(2009),2022-2032.
LeiWei,JiangZhu,Asecondordermultivaluedboundary-valueproblemandimpulsiveneutralfunctionaldifferentialinclusionsinBanachspaces,NonlinearOscillations,11(2008),191-207.
LeiWei,JiangZhu,YeolJeCho,ControllabilityofthesecondorderdifferentialinclusionsinBanachspaces,Comm.Appl.NonlinearAnal.,13(2006),93-105.