四川大学学报（自然科学版）2009，Vol.46Issue(3)：548-552,5.DOI:103969/j.issn.0490-6756.2009.03-006
中心仿射超曲面的一类变分问题
On some variational problem for centroaffine hypersurfaces
摘要
Abstract
Some variation preserving the volume are studied for centroaffine hypersurfaces and its Euler-Lagrange equation,which is a fourth order nonlinear PDE. By solving some boundary problem of a fourth order PDE, we can construct many Euclidean complete centroaffine hypersurfaces satisfying the PDE.关键词
中心仿射超曲面/欧氏完备Key words
centroaffine hypersurface, Euclidean completeness分类
数理科学引用本文复制引用
陈钢,许瑞伟..中心仿射超曲面的一类变分问题[J].四川大学学报（自然科学版）,2009,46(3):548-552,5.基金项目
国家自然科学基金(10771146) （10771146）
