Eigenvalue estimates via Hömander's $L^2$-method

Abstract

Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using Hormander's weighted $L^2$-technique. Lower bounds in terms of the volume of the underlying manifolds are also deduced from the sharp Sobolev inequality due to Li and Zhu(\cite{LZ}).

References in corpus (1)

• Eigenvalue estimates for Dirac operator with the generalized APS boundary condition