學習與工作簡歷
1994.9-1998.7曲阜師範大學數學系攻讀學士學位;
1999.9-2002.7曲阜師範大學套用數學專業攻讀獲碩士學位;
2002.9-2005.7中科院數學與系統科學研究院基礎數學專業攻讀博士學位;
2005.7--,擔任曲阜師範大學數學科學學院的教學與科研工作,目前主要從事臨界點理論與變分法及其套用領域的研究。
論文目錄
● Aixia qian, Zengqin Zhao, Coupled quasi-solutions and solutions of nonlinear impulsive Fredholm integral equations in Banach spaces, J.Sys.Sci.Math.Scis , 24(2004), 488-495.
● Aixia Qian, Shujie Li, Multiple nodal solutions for elliptic equations, Nonlinear Anal T.M.A, 57(2004), 615-632.
● Aixia Qian, Shujie Li, Multiple sign-changing solutions of an elliptic eigenvalue problem, Discrete and continuous Dynamical systems, 12(2005), 737-746.
● Aixia Qian, Shujie Li, On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem, Abstract and Applied Anal, 6(2005), 673-683.
● Aixia Qian, Existence of infinity many nodal solutions for a superlinear Neumann boundary value problem, Boundary Value Problem, 3(2005),323-327.
● Aixia Qian, Shujie Li, Multiple solutions for a fourth-order asymptotically linear elliptic problem, Acta Mathematica Sinica, English Series, 22(2006), 1121-1126.
● Aixia Qian, Sign-changing solutions for class of nonlinear elliptic problems, Chinese Anal of Mathematics (in press).
● Aixia Qian, Neumann problem of elliptic equation with strong resonance, Nonlinear Anal T.M.A (in press).
參加基金情況:
● 2006.1-2008.12,《臨界點理論中幾個重要問題》,國家自然科學基金, 10571123.
● 2006.12-2009.12,《半序空間中非線性運算元方程的解及對微分方程的套用》,山東省自然科學基金,Y2006A04.
所授課程:
本科生課程:《實變函式》
研究生課程:《錐理論與非線性運算元方程的正解》、《抽象空間的微分方程》、《錐理論與非線性運算元方程的正解》、《泛函分析》、《抽象空間的微分方程》