人物經歷
2014年畢業於武漢大學。
研究方向
主要從事偏微分方程、奇異流形分析領域的相關研究。
主講課程
承擔本科《高等數學》,《線性代數》,《機率論》碩士《矩陣論》等課程的教學工作。
學術成果
主持/參與項目:
主持完成江蘇省自然科學基金項目:Nehari流形方法在奇異流形上退化型橢圓方程中的套用(No. BK20150168, 2015年-2018年)
主持完成中國礦業大學校科技基金項目: Nehari流形在二階橢圓方程中的套用(No. 2015QNA45, 2015年-2017年)
作為主要成員參加完成國家自然基金項目:橢圓方程的源項辨識問題的正則化理論及數值算法(No.11601512, 2017年-2019年)
作為主要成員參加完成國家自然基金項目(面上項目):退化型非線性橢圓方程的分析和套用(No. 11371282, 2014年-2017年)
近期代表性論文:
1.H. Fan (corresponding author), Multiple positive solutions for a fractional elliptic system with critical nonlinearities, Boundary Value Problems.196(2016)1-18.SCI
2. H. Fan (corresponding author), Multiple positive solutions for a fractional elliptic system with critical nonlinearities, Z. Angew. Math. Phys. 67(1)(2016)1-27. SCI
3.H. Fan (corresponding author), Existence and concentration ofground state solutions for a Kirchhoff type problem, Electronic Journal of differential equations. 5(2016)1-18.SCI
4. H. Fan (corresponding author), Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents, Journal of Mathematical Analysis and Applications.431(2015)150-168.SCI
5. H. Fan (corresponding author), X. Liu, Multiple positive solutions of degenerate nonlocal problems on unbounded domain, Mathematical Methods in the Applied Sciences. 38(7)(2015)1282-1291.SCI
6. H. Fan (corresponding author), X. Liu, Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight, Mathematical Methods in the Applied Sciences. 38(7)(2015)1342-1351.SCI
7. H. Fan (corresponding author), X. Liu, Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain, Nonlinear Analysis: Theory, Methods & Applications. 114(2015)186-196.SCI
8. H. Fan (corresponding author), Existence theorems for a class of edge degenerate elliptic equations on singular manifolds, Proceedings of the Edinburgh Mathematical Society. 58(2)(2015)355-377.SCI
9. H. Fan (corresponding author), Multiple solutions for a singular elliptic problem involving Hardy terms on unbounded domains, Differential And Integral Equations.27(2014)821-836.SCI
10. H. Fan (corresponding author), Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities, Nonlinear Analysis: Real World Applications. 18(2014)14–22.SCI
11. H. Fan (corresponding author), X. Liu, Multiple positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent, Acta Mathematica Scientia.34(2014)1111-1126.SCI
12. H. Fan (corresponding author), X. Liu, Multiple positive solutions to a class of quasi-linear elliptic equations involving critical Sobolev exponent,Monatshefte für Mathematik. 174(2014)427-447.SCI
13. H. Fan (corresponding author), Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities,Electronic Journal of differential equations. 82(2014)1-14.SCI
14. H. Fan (corresponding author), Multiple positive solutions for semi-linear elliptic systems with sign-changing weight, Journal of Mathematical Analysis and Applications.409(1)(2014)399-408.SCI
15. H. Fan (corresponding author), X. Liu, Existence results for degenerate elliptic equations with critical cone Sobolev exponents, Acta Mathematica Scientia.34(2014)1907-1921.SCI
16. H. Fan (corresponding author), X. Liu, Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev Exponents on singular manifolds, Electronic Journal of differential equations. 181(2013)1-22.SCI