For -(n+1)<p<-1, isotropic Lp Gaussian Minkowski solutions with R(K)≤1 are unique and spherical, without assuming the body is origin-centered.
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Uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem
For -(n+1)<p<-1, isotropic Lp Gaussian Minkowski solutions with R(K)≤1 are unique and spherical, without assuming the body is origin-centered.