Harnack inequality for the Schrödinger problem relative to strongly local Riemannian -homogeneous forms with a potential in the Kato class.
Holes and obstacles
Homogeneous variational problems: a minicourse
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension . In this minicourse we discuss these problems from a geometric point of view.