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

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

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Year: 2022

Analysis in Theory and Applications, Vol. 38 (2022), Iss. 1 : pp. 92–109

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

We assume that :

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

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Publisher Name: Global Science Press

Language: English

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

Analysis in Theory and Applications, Vol. 38 (2022), Iss. 1 : pp. 92–109

Published online: 2022-01

AMS Subject Headings: Global Science Press

Pages: 18

Samy Skander Bahoura

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