數學與統計學院教師簡介——歐乾忠

歐乾忠，男，1973年生，博士，教授。

橢圓偏微分方程

數學分析

(1) 橢圓偏微分方程解的水平集的凸性, 國家自然科學基金地區基金項目（編號：11061013），24萬，2011.1-2013.12。

(2) 橢圓偏微分方程解的水平集的幾何性態，廣西自然科學基金面上項目（編號：2010GXNSFA013123），4萬，2010.4-2013.3。

(3) 橢圓偏微分方程解的幾何性態，廣西自然科學基金面上項目（編號：2014GXNSFAA118028），5萬，2014.6.1-2017.5.31。

人才計劃項目：

(1)橢圓偏微分方程研究， 2012年“廣西高等學校優秀人才資助計劃”，1萬。

[1] Rongli Huang, Qianzhong Ou, On the Second Boundary Value Problem for a Class of  Fully  Nonlinear Equations,Journal Geometry Analisys, DOI 10.1007/s12220-017-9774-7, Published online: 04 March 2017.

[2] Qianzhong Ou, A Note on Nonexistence of Conformal Hessian Inequalities，Advances in Mathematics(China), Vol. 46, No. 1, Jan., 2017，154-158.

[3] Qianzhong Ou, Lu Xu, Liouville Type Results of Curvature Operators of Fuchsian Convex Surfaces, Journal of Mathematical Analysis and Applications. 434 (2016), 1435–1441.

[4] Qianzhong Ou, Nonexistence Results for a Fully Nonlinear Evolution Inequalitty, Electronic Research Announcements in Mathematical Sciences. 23(2016), 19-24.

[5] Chuanqiang Chen, Fei Han and Qianzhong Ou, The Interior C^2 Estimate for the MONGE–AMPèRE Equation in Dimension n = 2, Analysis and PDE. 9 (2016), No.6,1419–1432.

[6] Qianzhong Ou, Singularities and Liouville Theorems for Some Special Conformal Hessian Equations, Pacific Journal of Mathematics, 266(2013),No.1,117-128.

[7]  J. Jost, Xi-Nan Ma & Qianzhong Ou, Curvature estimates in dimensions 2 and 3 for the level sets of p-harmonic functions in convex rings, Trans. Amer. Math. Soc., 364(2012), No.9, 4605–4627.

[8] Qianzhong Ou, Nonexistence results for hessian inequality，Methods and Applications of Analysis,17(2010),No.2,213-224.

[9] Changqing Hu, Xi-Nan Ma & Qianzhong Ou, A Constant Rank Theorem for Level Sets of Immersed Hypersurfces in  with Prescribed Mean Curvature, Pacific Journal of Math., 245 (2010),No.2, 255-271.