Positive and negative growth rates of measures and pointwise bounds of solutions of eigenvalue equations

Abstract

This paper, focusing on the growth rate of the measure, gives pointwise bounds of solutions of eigenvalue equations of the Laplace-Beltrami operator on noncompact Riemannian manifolds.

arXiv comment17 page

References in corpus (1)

• The lower bound of the Ricci curvature that yields the infinite number of the discrete spectrum of the Laplacian