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Bibliographic Details
Main Authors: Rosenberg, Steven, Xu, Jie
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2110.14543
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Table of Contents:
  • We introduce an iterative scheme to solve the Yamabe equation $ - aΔ_{g} u + S u = λu^{p-1} $ on small domains $(Ω,g)\subset {\mathbb R}^n$ equipped with a Riemannian metric $g$. Thus $g$ admits a conformal change to a constant scalar curvature metric. The proof does not use the traditional functional minimization.