Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Let $\Omega$ be a smooth bounded domain in ${\mathbb{R}}^n$ ($n\ge 3$) such that $0\in \partial \Omega$. In this memoir, we consider issues of non-existence, existence, and multiplicity of var…