Sharp Onofri trace inequality on the upper half space and quasi-linear Liouville equation with Neumann boundary

Jingbo Dou, Yazhou Han, Shuang Yuan +1

In this paper, we establish a sharp Onofri trace inequality on the upper half space $\overline{{\mathbb{R}}_{+}^n}(n\ge 2)$ by considering the limiting case of Sobolev trace inequalit…