A Type of Shephard Problems for L_p Blaschke-Minkowski Homomorphisms

The Blaschke-Minkowski homomorphisms was defined by Schuster. Recently, Wang extended its concept to L_p version. In this paper, we obtain affirmative and negative forms of the Shephard type problems for L_p geominimal surface areas with respect to the L_p Blaschke-Minkowski homomorphisms.