2 citations · 2 across the 4 of their papers we have counts for
6 papers
A construction of charged naked singularities for the Einstein--Maxwell-charged scalar field equations in 3+1 dimensions
Weihao Zheng
We construct a class of global naked singularity solutions for the -dimensional spherically symmetric Einstein--Maxwell-charged scalar field equations. The solutions arise f…
Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results
Weihao Zheng
This is the first part of a series of papers proving the nonlinear stability of a one-parameter family of continuously self-similar naked singularity solutions, with $0<α…
Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations II: linearized stability
Jaydeep Singh, Weihao Zheng
This is the second part of a series of papers proving the nonlinear stability of a one-parameter family of continuous self-similar naked singularity solutions, with $0<α\…
Gradient estimates for -harmonic functions on Riemannian manifolds
Yuxin Dong, Hezi Lin, Weihao Zheng
In this paper, we study -harmonic functions on complete Riemannian manifolds using the Moser iteration method. A volume comparison theorem and a Sobolev embedding theorem ar…
Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes
Weihao Zheng
We construct one-parameter families of static spherically symmetric asymptotically anti-de Sitter black hole solutions to the Einstein-Maxwell-(charged) Kle…
Exponentially-growing Mode Instability on Reissner-Nordström--Anti-de-Sitter black holes
Weihao Zheng
We construct growing mode solutions to the uncharged and charged Klein-Gordon equations on the sub-extremal Reissner-Nordström--anti-de-Sitter (AdS) spacetime under reflecting (Dir…