陸秋平

陸秋平，男，1979年10月出生，漢族，博士，揚州大學數學科學學院副教授。

基本介紹

• 中文名：陸秋平
• 出生日期：1979年10月
• 畢業院校：加拿大麥克馬斯特大學
• 學位/學歷：博士
• 職業：教師
• 專業方向：非線性橢圓方程和拋物方程
• 任職院校：揚州大學數學科學學院

個人經歷

教育經歷：

2008/09-2011/10, 智利大學，數學研究中心（Center for Mathematical Modeling）， 博士後；

2004/09-2008/08, 加拿大麥克馬斯特大學，數理統計系，博士；

2002/09-2004/08, 加拿大麥克馬斯特大學，數理統計系，碩士；

1998/09-2002/06, 華東師範大學， 數理統計系，學士。

研究方向

非線性橢圓方程和拋物方程。

Interested in nonlinear partial differential equations of elliptic and parabolic type arising from physics, biology and geometry. The general goal is to show the existence of solutions, then in turn to describe the bifurcation diagram for the solution set, and finally to study the asymptotic behaviors of certain type solutions. The main tools I use are topological methods, variational methods, continuation methods, and other methods from functional analysis.

Currently studying some nonlinear elliptic problem involving sublinear term, on which the maximum principle does not apply. solutions of this kind of problem have so called free boundaries. I want to understand the asymptotic behavior of least energy solution of this problem.

主講課程

機率論與數理統計、數學物理方程。

學術成果

論文

[1] Qiuping Lu, Zhi Ling, Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon.Communications on Pure and Appied Analysis,2015,14(6): 2411–2429.

[2] Qiuping Lu, Existence and concentration of solutions with compact support for elliptic problems with critical growth in R^N, Journal of Mathematical Analysis and Applications, 2014, 414(2): 799-824.

[3] Yong Huang, Qiuping Lu, On the regularity of the Lp Minkowski problem，Advance in Applied Mathematics , 2013, 50(2): 268-280.

[4] Qiuping Lu, Multiple solutions with compact support for a semilinear elliptic problem with critical growth, Journal of Differential Equations , 2012, 252( 12): 6275--6305.

[5] Qiuping Lu, On an indefinite, non-Lipschitz semilinear elliptic problem: compactly supported solutions, multiplicity and uniqueness, Journal of Mathematical Analysis and Applications, 2012 , 389(1): 569--590.

[6] Qiuping Lu, Compactly supported solutions for a semilinear elliptic problem in R^N with sign-changing function and non-Lipschitz nonlinearity, Proceedings of the Royal Society of Edinburgh: Section A, 2011, 141(1): 127--154.

[7] Stanley Alama, Qiuping Lu, Compactly supported solutions to stationary degenerate diffusion equations， J of Differential Equations , 2009, 246( 8): 3214--3240.

科研項目

1、國家自然科學基金面上項目，11571301、種群入侵的擴張準則及邊沿特徵、2016/01-2019/12、參與；

2、國家青年科學基金項目，11301460、帶次線性項奇攝動橢圓方程解的集中現象、2014/01-2016/12、主持。