TY - JOUR
T1 - Regularity and Rigidity for Nonlocal Curvatures in Conformal Geometry
AU - Chen , Wenxiong
AU - Zhang , Ruobing
JO - Journal of Mathematical Study
VL - 4
SP - 436
EP - 470
PY - 2020
DA - 2020/12
SN - 53
DO - http://doi.org/10.4208/jms.v53n4.20.03
UR - https://global-sci.org/intro/article_detail/jms/18509.html
KW - Regularity, spherical rigidity, nonlocal curvatures, conformal geometry.
AB - <p style="text-align: justify;">In this paper, we will explore the geometric effects of conformally covariant
operators and the induced nonlinear curvature equations in certain nonlocal nature.
Mainly, we will prove some regularity and rigidity results for the distributional solutions to those equations.</p>