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Necessary and Sufficient Condition of Existence for the Quadrature Surfaces Free Boundary Problem in Riemannian Geometry
We generalize to the setting of compact Riemannian manifolds a recent result of Barkatou on quadrature surfaces. Following the geometric and variational framework recently developed by Djité and Seck, we formulate the quadrature surface free boundary problem as a shape optimization problem on a comp
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