胡业新博士,E-mail:huyexin@mail.shufe.edu.cn

学习经历：

湖南省澧县人.1993年7月从湖南师范大学数学系本科毕业,获理学学士学位.
2002年3月从广西大学数学与信息科学系毕业，获理学硕士学位.
2005年3月从上海交通大学数学系毕业,获理学博士学位.

教学任务：

本科生课程《高等数学》，《常微分方程》《动态最优化》等，
研究生课程《偏微分方程》

学术研究：

研究领域主要是非线性椭圆型方程与方程组的理论与应用.目前感兴趣的课题是半线性及拟线性椭圆型方程与方程组弱解的存在性,正则性与弱解对边值,对参数的稳定性的研究.在此领域已在国内外核心期刊上撰写并发表了10多篇学术论文.

1.HUYexin,GuoXinkang,Multiplicityofpositivesolutionsforaclassofqiasilinearellipticequations,JournalofGuangxiUniversity(NaturalScienceTdition),Vol.28,No.2,June2003,109-113.

2.HUYexin,OntheexistenceofpositivesolutionforaclassofellipticequationsinR^N,MathematicaApplicata,2003,16(4),84-88

3YexinHu,Multiplicityofsolutionsforsomesemi-linearellipticsystemswithnon-homogeneousboundaryconditions,Jour.Appl.Anal,83(1(2004)).

4.HUYexin,LIJuan,Regularityresultsforsomequasi-linearellipticsystemsinvolvingcriticalexponents,Chin.Ann.Math(EnglishSeries).26(1)(2005).

5.HUYexin,MultiplicityofpositivesolutionsforaclassofellipticequationswithcriticalSobolevexponents,MathematicaApplicata,2005,18(2),286-292
6.HUYexin,Ontheexistenceofinfinitelymanyweaksolutionsforsomequasilinearellipticsystemsinvolvingsingularterms,MathematicaApplicata,2006,19(2),304-312

7.HUYexin,Existenceofmultiplesolutionsforsomequasilinearellipticsystemswithlackofcompactness,MathematicaApplicata,2006,19(3),531-538

8.HUYexin,Somesuggestionsfortheundergraduatesinlearningtheordinarydifferentialequations,InternationalJournalofEducationalEngineering,Vol.3,No.3,Jun.2006,355-357.

9.HUYexin,Ontheexistenceofinfinitelymanysolutionsforsomenonlinearellipticsystemswithperturbations,MathematicaApplicata,2007,20(4),681-687

10.HUYexin,Thestabilityofweaksolutionsforaclassofquasilinearellipticsystemswithrespecttoboundarydata,JournalofShanghaiJiaotongUniversity,Vol.42,No.3,Mar.2008,504-507.

11.YexinHU,Stabilityofweaksolutionsofaclassofnonvariationalquasilinearellipticsystemswithrespecttoboundarydata,ActaMathematicaSinica,(ChineseSeries),Vol.52,No.1,Jan2009,117-124.