The symmetric maximal surface equation
Rongli Huang, Peihe Wang, Hengyu Zhou
Abstract
We establish the existence of smooth solutions to the symmetric maximal surface equation with degenerate boundary conditions. Moreover, we prove that these solutions maximize the associated area functionals. This result serves as the Lorentzian analogue of minimal graphs in hyperbolic spaces together with their associated area minimizing problem.
Create a lesson
Related papers
Failure of the Proposed Local Decay Formula for Local Arnold Multiplicities under Twisted Kähler--Ricci Flow
Xiangsen Qin
The Grassmannian of indefinite subspaces
Rongbiao Thomas Wang, Hongquan Yang, Lek-Heng Lim
Lie groupoid integration of singular isometries of the Poincaré disk
Rea Dalipi
A remark on the fourth order Q curvature on manifolds with dimension at least 5
Fengbo Hang
Under Ricci flow, a 3-torus goes flat
John Lott
Torsion algebras of Hermitian manifolds and rigidity
Wangyang Lin, Yibo Ren