an:04199109
Zbl 0726.58050
Nadirashvili, Nikolai S.
Metric properties of eigenfunctions of the Laplace operator on manifolds
EN
Ann. Inst. Fourier 41, No. 1, 259-265 (1991).
00006956
1991
j
58J50
nodal set; eigenfunction; Laplace-Beltrami operator
On a two-dimensional compact real analytic Riemannian manifold we estimate the volume of the set on which the eigenfunction of the Laplace- Beltrami operator is positive.
On an n-dimensional compact smooth Riemannian manifold, we estimate the relation between supremum and infimum of an eigenfunction of the Laplace operator.
N.S.Nadirashvili (Moskva)