$\sup \times \inf$ Inequalities for the Scalar Curvature Equation in Dimensions 4 and 5

Authors

  • Samy Skander Bahoura

DOI:

https://doi.org/10.4208/ata.OA-2017-0061

Keywords:

$\sup \times \inf $, dimension 4 and 5, blow-up, moving-plane method.

Abstract

We consider the following problem on bounded open set  $ \Omega $ of $ {\mathbb R}^n $:

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We assume that :

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Then, we have a $  \sup  \times  \inf $ inequality for the solutions of the previous equation, namely:

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Published

2022-12-09

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Issue

Vol. 38 No. 1 (2022)

Section

Articles

How to Cite

$\sup \times \inf$ Inequalities for the Scalar Curvature Equation in Dimensions 4 and 5. (2022). Analysis in Theory and Applications, 38(1), 92-109. https://doi.org/10.4208/ata.OA-2017-0061
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