Singular Poisson equations on Finsler-Hadamard manifolds (Q745543)

In this article, the reflexivity of Sobolev spaces on non-compact not necessarily reversible Finsler manifolds is studied. The authors use direct methods in the calculus of variation to establish uniqueness, location, and rigidity results for singular Poisson equations which involve the Finsler-Laplace operator on Finsler-Hadamard manifolds. It is assumed that those manifolds have a finite reversibility constant.