The Yamabe equation in small convex domains in $\mathbb{R}^3$ and small balls in $\mathbb{R}^n$

Abstract

We show an iterative method to solve a Dirichlet problem for a Yamabe-type equation in small convex domains in R 3 and small balls in R n .

An Iteration Method for Solving Elliptic Equations

“…The iteration method used in this paper has been studied by the authors in other contexts, mainly using a maximum principle approach in [4,5].…”