
個(gè)人基本情況
康東升,1984年起在華中師范大學(xué)數(shù)學(xué)系學(xué)習(xí),先后獲得理學(xué)學(xué)士、碩士、博士學(xué)位,2004年晉升教授,研究方向?yàn)榉蔷€性泛函分析和非線性橢圓形偏微分方程,近年來在《中國科學(xué)》,《數(shù)學(xué)學(xué)報(bào)》等國內(nèi)外重要數(shù)學(xué)期刊發(fā)表了系列論文,其中被SCI收錄40余篇,發(fā)表的論文被國內(nèi)外同行引用累計(jì)達(dá)到200余次,單篇論文他引次數(shù)最高達(dá)到40次,近期研究興趣主要集中在帶有Sobolev臨界指數(shù)和Hardy位勢項(xiàng)的非線性橢圓方程和方程組。
業(yè)余兼職:
Mathematical Reviews評論員,
Differential Equations and Applications編委。
主講課程:
本科生《數(shù)學(xué)分析》, 碩士生《泛函分析》,碩士生《變分方法》。
科研項(xiàng)目:
1. 國家自然科學(xué)基金面上項(xiàng)目:關(guān)于非線性奇異橢圓方程的研究,
主持人,已完成結(jié)題。
2. 國家民委科研項(xiàng)目:非線性橢圓方程解的研究,
主持人,已完成結(jié)題。
成果獎(jiǎng)勵(lì):
1. 《非線性奇異橢圓方程的研究》,湖北省自然科學(xué)獎(jiǎng)三等獎(jiǎng),
2012年,本人獨(dú)立完成。
2. 指導(dǎo)研究生黃燕的論文獲得“湖北省優(yōu)秀碩士學(xué)位論文”,2011年。
3. 指導(dǎo)研究生楊芬的論文獲得“湖北省優(yōu)秀碩士學(xué)位論文”,2013年。
4. 2004年以來共有6個(gè)年度獲得“中南民族大學(xué)科研十佳”稱號。
近期論文:
1.Dongsheng Kang, Fen Yang, Elliptic systems involving multiple critical nonlinearities and symmetric multi-polar potentials, Science China Mathematics, 2014, 57(5): 1011-1024.
2. Dongsheng Kang, Systems of elliptic equations involving multiple critical nonlinearities and different Hardy-type terms in , Journal of Mathematical Analysis and Applications, 2014, 420(2): 917-929.
3. Dongsheng Kang, Elliptic systems involving critical nonlinearities and different Hardy-type terms, Journal of Mathematical Analysis and Applications, 2014, 420(2): 930-941.
4. Dongsheng Kang, Systems of quasilinear elliptic equations involving multiple homogeneous nonlinearities, Applied Mathematics Letters, 2014, 37(11): 1-6.
5. Dongsheng Kang, Quasilinear systems involving multiple critical exponents and potentials,
Communications on Pure and Applied Analysis, 2013, 12(2): 695-710.
6. Dongsheng Kang, Xiaofeng Shen, Systems of elliptic equations involving multiple inverse-square potentials and critical exponents, Differential Equations and Applications, 2013, 5(1): 93-110.
7. Dongsheng Kang, Fen Yang, Semilinear elliptic systems involving multiple critical exponents and singularities in , Discrete and Continuous Dynamical Systems, 2012, 32(12): 4247-4263.
8. Dongsheng Kang, Shuangjie Peng, Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials, Science China Mathematics, 2012, 55(10): 2027-2044.
9. Mingjian Cai, Dongsheng Kang, Elliptic systems involving multiple strongly coupled critical terms, Applied Mathematics Letters, 2012, 25(3): 417-422.
10. Dongsheng Kang, Asymptotic Properties of Solutions to Semilinear Equations Involving Multiple Critical Exponents, Canadian Mathematical Bulletin, 2012, 55 (3): 537–547