3 citations · 4 across the 12 of their papers we have counts for
12 papers
Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group
Luca Capogna, Giovanna Citti, Xiao Zhong
This note provides a succinct survey of the existing literature concerning the Hölder regularity for the gradient of weak solutions of PDEs of the form $$\sum_{i=1}^{2n} X_i A_i(\n…
-Adic interpolation of orbits under rational maps
Jason P. Bell, Xiao Zhong
Let be a field of characteristic zero, let be a rational map defined over , and let . We show that there exists a fini…
Quadratic reciprocity from a family of adelic conformal field theories
An Huang, Bogdan Stoica, Xiao Zhong
We consider a deformation of the two-dimensional free scalar field theory by raising the Laplacian to a positive real power. It turns out that the resulting non-local generalized f…
Massless -brane modes and the critical line
An Huang, Bogdan Stoica, Xiao Zhong
We consider a -brane model as a theory of maps from the vertices of the Bruhat-Tits tree times into . We show that in order for the worldsheet time e…
Lipschitz regularity for solutions of the parabolic -Laplacian in the Heisenberg group
Luca Capogna, Giovanna Citti, Xiao Zhong
We prove local Lipschitz regularity for weak solutions to a class of degenerate parabolic PDEs modeled on the parabolic -Laplacian $$\p_t u= \sum_{i=1}^{2n} X_i (|\nabla_0 u|^{p…
Bounds on the Ricci curvature and solutions to the Einstein equations for weighted graphs
An Huang, Bogdan Stoica, Xuyang Xia +1
This is a preliminary study of the equation of motion of Euclidean classical gravity on a graph, based on the Lin-Lu-Yau Ricci curvature on graphs. We observe that the constant edg…