Elliptic Schrödinger equations with gradient-dependent nonlinearity and Hardy potential singular on manifolds

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $\Omega \subset {\mathbb{R}}^N$ ($N\ge 3$) be a $C^2$ bounded domain and $\Sigma \subset \Omega$ is a $C^2$ compact boundaryless submanifold in ${\mathbb{R}}^N$ of dimension $k$, $0\le k<N-2$.…