English

Extension of reilly formula for a class of elliptic differential operator in divergence form

Differential Geometry 2019-01-23 v3

Abstract

We prove the Reilly formula for a class of elliptic divergence differential operator LAu=div(Au)L_Au=div(A\nabla u), where AA is a (1,1)-Codazzi tensor field. Then we get some estimates for the first positive eigenvalue of the operator.

Keywords

Cite

@article{arxiv.1812.01657,
  title  = {Extension of reilly formula for a class of elliptic differential operator in divergence form},
  author = {S. H. Fatemi and S. Azami},
  journal= {arXiv preprint arXiv:1812.01657},
  year   = {2019}
}