3 papers
math.DG2026
Mass--Capacity Inequalities in Asymptotically Flat Half-Spaces
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to -capacitary functions in -dimensional asymptotically flat half-spaces…
math.AP2025
General monotone formula for homogeneous -Hessian equation in the exterior domain and its applications
Jiabin Yin, Xingjian Zhou
In this paper, we deal with an overdetermined problem for the -Hessian equation () in the exterior domain and prove the corresponding ball characterizations. S…
nlin.SI2023
Construction of integrable generalised travelling wave models and analytical solutions using Lie symmetries
Johannes G. Borgqvist, Fredrik Ohlsson, Xingjian Zhou +1
Certain solutions of autonomous PDEs without any boundary conditions describing the spatiotemporal evolution of a dependent variable in an unbounded spatial domain can be character…