Solvability of the Dirichlet Problem for the Poisson Equation on Some Noncompact Riemannian Manifolds

Аннотация

The behavior of solutions of the Poisson equation on noncompact Riemannian manifolds of a special form is studied. Sharp conditions for the unique solvability of the Dirichlet problem on the reconstruction of solutions of the Poisson equation from continuous boundary data at infinity are found.