Concavity Properties of Solutions of Elliptic Equations under Conformal Deformations

Gabriel Khan, Soumyajit Saha, Malik Tuerkoen

We study the Dirichlet problem for the weighted Schrödinger operator \[-Δu +Vu = λρu,\] where $\rho$ is a positive weighting function and $V$ is a potential. Such equations appear nat…