A note on the first variation of the total mass

Xiaomei Sun; Anqiang Zhu

A note on the first variation of the total mass

Classical Analysis and ODEs 2026-07-08 v1 Spectral Theory

Authors: Xiaomei Sun , Anqiang Zhu

Abstract

In this paper, we establish a proof for the first variation formula of the total mass within the $L_p$ framework. Our main result removes an extra restrictive determinant condition imposed in a theorem originally proved by Fang,Xing and Ye

Keywords

total mass first variation Lp framework mass formula

Cite

@article{arxiv.2607.07094,
  title  = {A note on the first variation of the total mass},
  author = {Xiaomei Sun and Anqiang Zhu},
  journal= {arXiv preprint arXiv:2607.07094},
  year   = {2026}
}