55 citations · 69 across the 17 of their papers we have counts for
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The Boundary Yamabe Problem, II: General Constant Mean Curvature Case
Jie Xu
This article uses the iterative schemes and perturbation methods to completely solve the Han-Li conjecture, i.e. the general boundary Yamabe problem with prescribed constant scalar…
The Boundary Yamabe Problem, I: Minimal Boundary Case
Jie Xu
We apply iteration schemes and perturbation methods to provide a complete solution of the boundary Yamabe problem with minimal boundary scenario, or equivalently, the existence of…
Solving the Yamabe-Type Equations on Closed Manifolds by Iteration Schemes
Jie Xu
We introduce a double iterative scheme and local variational method to solve the Yamabe-type equation …
Solving the Yamabe Problem by an Iterative Method on a Small Riemannian Domain
Steven Rosenberg, Jie Xu
We introduce an iterative scheme to solve the Yamabe equation on small domains equipped with a Riemannian metric . T…
Existence of Strong Solution for the Complexified Non-linear Poisson Boltzmann Equation
Brian Choi, Jie Xu, Trevor Norton +2
We prove the existence and uniqueness of the complexified Nonlinear Poisson-Boltzmann Equation (nPBE) in a bounded domain in . The nPBE is a model equation in nonline…
Newton's Method for M-Tensor Equations
Dong-Hui Li Jie-Feng Xu, Hong-Bo Guan
We are concerned with the tensor equations whose coefficient tensor is an M-tensor. We first propose a Newton method for solving the equation with a positive constant term and esta…