2019/07/07 by Qingchun Ji, Li Lin, Ji, Qingchun +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering
paper · pdf · doi:10.48550/arxiv.1907.03214
Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using Hormander's weighted L2-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(\citeLZ).