4 problems

Let $\mathbb{G}=(\mathbb{R}^n,\circ)$ be a stratified Lie group of homogeneous dimension $Q$, let $\Omega\subset\mathbb{G}$ be a bounded open set with smooth boundary, let…

Non-Riemannian point conjecture. If $q_0$ is not Riemannian, then the pointed Laplace operator is not essentially self-adjoint.

Let $M$ be a sub-Riemannian manifold, let its equiregular region be the complement of the singular region of the sub-Riemannian structure, and let $\Delta_{\mathcal P}$ denote the…

Let $G$ be an H-type group, let $N$ be the Kaplan norm on $G$, and for $\beta>0$ define the weight $w_\beta=e^{-N^\beta}$. Let $\mathcal{L}^{w_\beta}$ be the weighted sub-Laplacian…