期刊文献

Parametric and non-parametric minima 收藏

参数和非参数的最小值
摘要
We prove that if u∈BV(Ω) is a local minimum for the non-parametric functional F(u) associated to a parametric integrand g∶Ω×ℝ×ℝn+1→[0,+∞), then the hypograph of u is locally minimizing for the parametric functionalG associated to g, among the sets of finite perimeter in Ω×ℝ.
摘要译文
我们证明,如果u鈭圔V(惟)是关联到一个参数积摹鈭段┟椻划脳鈩SUP N + 1 / SUP鈫抂非参数功能F(U)局部最小0,+鈭,则u的hypograph局部减少关联到克,在惟脳鈩澑套有限周长之间的参数functionalG
Gabriele Anzellotti [1]. Parametric and non-parametric minima[J]. manuscripta mathematica, 1984,48(1-3): 103-115