$\sigma_k$-Yamabe measure
Analysis of PDEs
2024-07-26 v1
Abstract
We found a special divergence structure for the -Yamabe operator and use it to get a monotonicity formula. We also get an interior estimate via its norm for the -Yamabe operator when . Combining these two tools, we prove the weak continuity of the -Yamabe measure with respect to convergence in measure.
Cite
@article{arxiv.2407.17736,
title = {$\sigma_k$-Yamabe measure},
author = {Xi-Nan Ma and Wangzhe Wu},
journal= {arXiv preprint arXiv:2407.17736},
year = {2024}
}