學(xué)習(xí)與工作簡歷
1994.9-1998.7曲阜師范大學(xué)數(shù)學(xué)系攻讀學(xué)士學(xué)位;
1999.9-2002.7曲阜師范大學(xué)應(yīng)用數(shù)學(xué)專業(yè)攻讀獲碩士學(xué)位;
2002.9-2005.7中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院基礎(chǔ)數(shù)學(xué)專業(yè)攻讀博士學(xué)位;
2005.7--,擔(dān)任曲阜師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院的教學(xué)與科研工作,從事臨界點(diǎn)理論與變分法及其應(yīng)用領(lǐng)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(diǎn)理論中幾個(gè)重要問題》,國家自然科學(xué)基金, 10571123.
● 2006.12-2009.12,《半序空間中非線性算子方程的解及對微分方程的應(yīng)用》,山東省自然科學(xué)基金,Y2006A04.
所授課程:
本科生課程:《實(shí)變函數(shù)》
研究生課程:《錐理論與非線性算子方程的正解》、《抽象空間的微分方程》、《錐理論與非線性算子方程的正解》、《泛函分析》、《抽象空間的微分方程》