BOUNDED SOLUTIONS FOR THE $SCHRËDINGER OPERATOR ON RIEMANNIAN MANIFOLDS
BOUNDED SOLUTIONS FOR THE $SCHRËDINGER OPERATOR ON RIEMANNIAN MANIFOLDS
Let M be a complete Riemannian manifold and L be a <TEX>$Schr\"{o}dinger$</TEX> operator on M. We prove that if M has finitely many L-nonparabolic ends, then the space of bounded L-harmonic functions on M has the same dimension as the sum of dimensions of the spaces of bounded L-harmonic functions …