A geometric covering lemma and nodal sets of eigenfunctions
A geometric covering lemma and nodal sets of eigenfunctions
The main purpose of this paper is two-fold.On one hand, we prove a sharper covering lemma in Euclidean space R n for all n ≥ 2 (see Theorem 1.5).On the other hand, we apply this covering lemma to improve existing results for BMO and volume estimates of nodal sets for …