Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch
arXiv:1107.0092
Abstract
We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in dimensions n \leq 5 gives a new proof for the lower bounds of Colding-Minicozzi.
This is a revised version which improves the result of the earlier version