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.
Firey, Christoffel’s problem for general convex bodies, Mathematika, 15, 7-21, (1968)
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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.