论文标题
LP Minkowski问题的问题
The Lp Minkowski problem for q-torsional rigidity
论文作者
论文摘要
In this paper, we introduce the so-called $L_p$ $q$-torsional measure for $p\in\mathbb{R}$ and $q>1$ by establishing the $L_p$ variational formula for the $q$-torsional rigidity of convex bodies without smoothness conditions.此外，我们实现了$ L_P $ Minkowski问题的解决方案$ W.R.T. $ $ q $ - 验证刚度，用于离散度量和一般度量时，当$ 0 <p <1 $和$ q> 1 $。
In this paper, we introduce the so-called $L_p$ $q$-torsional measure for $p\in\mathbb{R}$ and $q>1$ by establishing the $L_p$ variational formula for the $q$-torsional rigidity of convex bodies without smoothness conditions. Moreover, we achieve the existence of solutions to the $L_p$ Minkowski problem $w.r.t.$ the $q$-torsional rigidity for discrete measure and general measure when $0<p<1$ and $q>1$.
