On the continuity of the solution to the Minkowski problem for Lp torsional measure

This paper deals with on the continuity of solution to Minkowski problem for Lp torsional measure. For p ? (1, n + 2) (n 2,?), we show that a sequence convex bodies in Rn is convergent Hausdorff metric if measures (associated these bodies) weakly convergent. Moreover, also prove measure continuous respect p.