Abstract
We study the eigenvalues of the biharmonic operators and the buckling eigenvalue on complete, open Riemannian manifolds. We show that the first eigenvalue of the biharmonic operator on a complete, parabolic Riemannian manifold is zero. We give a generalization of the buckling eigenvalue and give applications to studying the stability of minimal Lagrangian submanifolds in Kähler manifolds.
Citation
Bennett Palmer. "Biharmonic capacity and the stability of minimal Lagrangian submanifolds." Tohoku Math. J. (2) 55 (4) 529 - 541, 2003. https://doi.org/10.2748/tmj/1113247128
Information