  The second vanishing theorem has a long history in the theory of local
cohomology modules, which connects the vanishing of a complete regular local
ring with a topological property of the punctured spectrum of the ring under
some conditions. However, the case of complete ramified regular local rings is
unresolved. In this paper, we give a partial answer to the second vanishing
theorem in the ramified case. Our proof is inspired by the theory of surjective
elements in the theory of local cohomology.
