3 papers
math.AP2025
An overdetermined problem related to the p-Laplacian on Riemannian manifolds
Guangyue Huang, Chunlei Luo, Hongru Song
In this paper, we study the overdetermined problem for the p-Laplacian equation on a compact Riemannian manifold with positive Ricci curvature. By introducing a new P-function whic…
math.DG2025
A weighted Reilly type integral formula for differential forms and its applications
Cao Liyi, Huang Guangyue, Song Hongru
In this paper, we derive a weighted Reilly type integral formula for differential forms on a compact smooth metric measure space with boundary. As applications, a lower bound of th…
cond-mat.str-el2025
Tensor complex renormalization with generalized symmetry and topological bootstrap
Dong-Yu Bao, Gong Cheng, Hong-Hao Song +1
Recent progress in generalized symmetry and topological holography has shown that, in conformal field theory (CFT), topological data from one dimensional higher can play a key role…