3 papers
gr-qc2026
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<…
gr-qc2026
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<Î…
math.DG2025
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…