Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials
Volume 138 / 2000
Studia Mathematica 138 (2000), 101-119
DOI: 10.4064/sm-138-2-101-119
Abstract
We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.