Biharmonic capacity and the stability of minimal Lagrangian submanifolds (Q1876283)

The author studies the eigenvalues of the biharmonic operators and the buckling eigenvalue on complete, open Riemannian manifolds. He proves that the first eigenvalue of the biharmonic operator on a complete, parabolic Riemannian manifold is zero. He gives a generalization of the buckling eigenvalue and applications to studying the stability of minimal Lagrangian submanifolds in Kähler manifolds.