Existence and uniqueness of strictly spherically convex solutions is proved for the Lp dual Christoffel-Minkowski problem involving the Hessian quotient operator via an inverse convexity full rank theorem and a priori estimates.
Gerhardt, Curvature problems, Series in Geometry and Topology, International Press of Boston Inc
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The $L_p$ dual Christoffel-Minkowski type problem for a class of Hessian quotient equations
Existence and uniqueness of strictly spherically convex solutions is proved for the Lp dual Christoffel-Minkowski problem involving the Hessian quotient operator via an inverse convexity full rank theorem and a priori estimates.