摘要
证明了凸体的极小L_p(p>0)表面积的存在唯一性,刻画了凸体的L_p表面积达到极小值时凸体的特征,并建立了关于极小L_p表面积的一个仿射等周不等式.
In this paper, we show the existence and uniqueness of the minimal Lp surface area of convex bodies for p〉0, and characterize the convex bodies when their Lp surface area attains the minimum. In addition, an affine isoperimetric inequality is established.
作者
汪雷雷
WANG Leilei(College of Sciences,Shanghai University,Shanghai 200444,China)
出处
《应用数学与计算数学学报》
2018年第2期391-401,共11页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11471206)
