Tangent-point repulsive potentials for a class of non-smooth $m$-dimensional sets in ${\mathbb{R}}^n$. Part I: Smoothing and self-avoidance effects

Pawel Strzelecki, Heiko von der Mosel

We consider repulsive potential energies $\E_q(Σ)$, whose integrand measures tangent-point interactions, on a large class of non-smooth $m$-dimensional sets $\Sigma$ in ${\mathbb{R}}^n.$ Finitene…