A generalized rotationally symmetric case of the centroaffine Minkowski problem.

In this paper the centroaffine Minkowski problem, a critical case of the L p -Minkowski problem in the n + 1 dimensional Euclidean space, is studied. By its variational structure and the method of blow-up analyses, we obtain two sufficient conditions for the existence of solutions, for a generalized rotationally symmetric case of the problem. [ABSTRACT FROM AUTHOR]