An estimate on riemannian manifolds of dimension 4

TL;DR

This paper provides an estimate involving the supremum and infimum for solutions to a Yamabe-type equation on four-dimensional Riemannian manifolds, contributing to geometric analysis.

Contribution

It introduces a new estimate of sup × inf for Yamabe equations specifically on four-dimensional Riemannian manifolds, advancing understanding in geometric PDEs.

Findings

Established a supremum-infinum estimate for Yamabe equations on 4D manifolds

Extended previous estimates to the four-dimensional case

Contributed to the theory of geometric partial differential equations

Abstract

We give an estimate of type sup $\times$ inf on Riemannian manifold of dimension 4 for a Yamabe type equation.