Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...

In this work we ascertain the semiclassical behavior of the fundamental energy and the ground state of an arbitrary second order elliptic operator, not necessarily selfadjoint, on a bounded domain.

The Friedrichs extension of a second order singular elliptic operator is considered on a weighted $\mathscr{L}^2_w(\Omega)$ space. The region $\Omega$ is not necessarily bounded. Necessary conditions ...