周风 - 华东师范大学 - 数学科学学院

个人简介

个人资料 1993 年法国巴黎第六大学数学系获博士学位 1986 年法国巴黎第六大学数学系获 DEA 学位 1985 年武汉大学数学系获学士学位国外学术访问 1998/02 至 1998/12 新加坡国立大学数学系访问学者 2000/02 至 2000/07 法国 Cachan 高师，高级访问学者 2003/02 至 2003/04，2006/01 至 2006/02 法国 Cergy 大学，客座教授 2003/05 至 2003/07 意大利国际理论物理中心（ICTP， Trieste） 2003/03，2006/03 德国 MaxPlanke 研究所 2006/02-03 法国 Cergy 大学，巴黎第十二大学、德国 MaxPlanke 研究所 2007/02 美国 Minnesota 大学、Connecticut 大学

研究领域

“非线性分析与偏微分方程”： 1. 非线性泛函分析 -- 主要感兴趣于单调算子理论，凸分析、对偶理论及其在非线性偏微分方程中的应用。 2. 非线性偏微分方程 -- 主要感兴趣于研究几何、数学物理中若干非线性偏微分方程解的性质，如正则性、多解性、blow up 现象、稳定性及解与区域的几何、拓扑特征之间关系等基本问题。

近期论文

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Regularity of $\int |\nabla u|^2 + \lambda \int |u-f|^2$ and some gap phenomenon, Potential Analysis I. p385－400. 1992. (with R. Hadiji ). Asymptotic behavior for the solutions of a Ginzburg-Landau equation，Progress in PDE, Metz Surveys 3. (M.Chipot eds) Pitman 314. p52-57. 1994. (with R. Hadiji ). Solutions periodiques d’un systeme d’equations non-lineaires semicoercif, Bull. de la clas. des sci. de l’Acad. Roy. de Belg., 7-12, p.345-354. 1994. Minimization harmonic mappings with values in a circle, Houston J.of Math. 20(3) p475-490. 1994. (with D. Ye ). A problem of minimization with relaxed energy. Ann. of Toulouse, (6) 4. p579-591. 1995. (with R. Hadiji ). Uniqueness of solutions of Ginzburg-Landau problem, Nonlinear Analysis 46(3) p603-612. 1996. (with D. Ye ). A remark on duality for the sum of convex functions in general Banach spaces, Chin. Ann. of Math. 19B:3, p.249-254. 1998. A remark on multiplicity of solutions for the Ginzburg-Landau equation, Ann.I.H.P. Analyse Non-lineaire.16(2),p255-267. 1999. (with Q. Zhou)., A closedness criterion for difference of two closed convex sets in general Banach spaces, Chin. Ann. of Math. 20B:3, p.337-340. 1999. (with A. Beaulieu). Landau-Lifshitz equation of Ferromagnetism; Regularity and Energy identities, Jour. Australia Math. Soc. 72:3 (2002) 299-316. (with P.Y.H. Pang, J.Xiao ). A generalized Emden-Fowler equation with exponential non-linearity in two dimension, Calculus of Var. 2001,Vol.13. p.141-158 (with D.Ye ). A boundedness of extremal solution for semilinear equations, Comm. In Contemporary Mathematics, Vol.4, No.3 (2002) 547-558. (with D.Ye) Comparison, Symmetry and monotonicity results for degenerate elliptic operators in Carnot-Caratheodory spaces, Chin. Ann. of Math. 23B:3 (2002)361-372. (with Y.Ge, D.Ye) Multiple solutions of compact H-surfaces in Euclidean space. Top. Methods in Nonlinear Analysis, Vol 22(2003), p.355-367 (with Y.X.Ge) Invariant criteria for the existence of positive bounded entire solutions, Discrete and Continuous Dynamic Systems, 2005, Vol.12(3), p413-424 (with D.Ye). The Christofel-Minkowski problem III: admissible solutions of spherical Hessian equations, Comm. Pure and Appl.Math., Vol LIX. 1352-1376 (2006). (with P. Guan, X. Ma) Exact multiplicity for boundary blow-up solutions, J. Differential Equation. Vol.228, (2006), p.486-506. (with Zongming Guo), Bubbling solutions for an anisotropic Emden-Fowler equation, C.R. Acad.Sci. Paris.I. 343 (2006) 253-258. (with Juncheng Wei, Dong Ye). Bubbling solutions for an anisotropic Emden-Fowler equation, Calc.of Var. and PDE’s. 28(2007) 217-247.(with Juncheng Wei, Dong Ye).