Extremals for singular Onofri type inequality in weighted Sobolev spaces

Natalino Borgia, Silvia Cingolani, Rubén Fiñana Aranega +1

The $N$-dimensional Euclidean Onofri inequality was proved by Del Pino and Dolbeault for smooth compactly supported functions in ${\mathbb{R}}^N$ with $N\ge 2$. In this paper, we co…