Anisotropic Moser-Trudinger inequality involving $L^n$ norm in the entire space ${\mathbb{R}}^n$

Rulong Xie

Let $F:{\mathbb{R}}^n\to [0,+\infty )$ be a convex function of class $C^2({\mathbb{R}}^n\backslash \{0\})$ which is even and positively homogeneous of degree 1, and its…