On the embedding of weighted Sobolev spaces with applications to a planar nonlinear Schrödinger equation

Antonio Azzolini, Alessio Pomponio, Simone Secchi

In this paper we study the embedding properties for the weighted Sobolev space $H_V^1({\mathbb{R}}^N)$ into the Lebesgue weighted space $L_W^{\tau }({\mathbb{R}}^N)$. Here $V$ and $W$ are di…