Resumen de Toward best isoperimetric constants for (H1,BMO)-normal conformal metrics on ,R n3

Jie Xiao

• The aim of this article is: (a) to establish the existence of the best isoperimetric constants for the (H1,BMO)-normal conformal metrics e2u|dx|2 on , n3, i.e., the conformal metrics with the Q-curvature orientated conditions (b) to prove that is the optimal upper bound of the best isoperimetric constants for the complete (H1,BMO)-normal conformal metrics with nonnegative scalar curvature; (c) to find the optimal upper bound of the best isoperimetric constants via the quotients of two power integrals of Green's functions for the n-Laplacian operators -div(|u|n-2u).