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Necessary and Sufficient Condition of Existence for the $p$-Laplacian Quadrature Surfaces Free Boundary Problem in Riemannian Geometry
We generalize the necessary and sufficient condition of existence for the quadrature surfaces free boundary problem to the case of the $p$-Laplacian operator in Riemannian geometry. Following the shape optimization approach of Barkatou for the Euclidean case and the Riemannian framework recently dev
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