On the Chen-Lin conjecture for the prescribed scalar curvature problem
Hichem Chtioui
TL;DR
This paper proves a criterion for the existence of solutions to the prescribed scalar curvature problem on spheres, confirming a conjecture by Chen and Lin and advancing understanding in geometric analysis.
Contribution
It establishes a new existence criterion for solutions to the prescribed scalar curvature problem on spheres, confirming a conjecture by Chen and Lin.
Findings
Proves a conjectured criterion for solution existence.
Advances understanding of scalar curvature problems.
Confirms the Chen-Lin conjecture.
Abstract
We prove a criterion of existence of solutions conjectured by C. C. Chen and C. S. Lin [20] for the prescribed scalar curvature problem on the standard n-dimensional sphere.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Advanced Mathematical Modeling in Engineering