An estimate for an elliptic equation in dimension 4
Samy Skander Bahoura (IHP)
TL;DR
This paper provides a uniform estimate for solutions to a prescribed scalar curvature type elliptic equation specifically in four-dimensional space, advancing understanding of geometric PDEs in this setting.
Contribution
It introduces a new uniform estimate for solutions of the prescribed scalar curvature equation in four dimensions, which was previously not well-understood.
Findings
Established a uniform bound for solutions in dimension 4
Improved understanding of scalar curvature equations in geometric analysis
Potential applications to geometric problems in four-dimensional manifolds
Abstract
We give a uniform estimate for solutions of prescribed scalar curvature type equation in dimension 4.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Mathematical Physics Problems · advanced mathematical theories