In this paper, we prove the uniqueness of the L_p Minkowski problem for q-torsional rigidity with p > 1 and q > 1 in smooth case. Meanwhile, the L_p Brunn-Minkowski inequality and the L_p Hadamard variational formula for q-torsional rigidity are established.

中文翻译：

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q-扭转刚度的Lp Minkowski问题的唯一性

在本文中，我们证明了在光滑情况下p > 1 和q > 1 的q扭转刚度L _p Minkowski 问题的唯一性。同时，建立了q-扭转刚度的L _p Brunn-Minkowski 不等式和L _p Hadamard 变分公式。