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Semilinear overdetermined problems, a divergence formula, and geometric inequalities

Leandro, Benedito et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometry
Considering an $n$-dimensional compact Riemannian manifold with a boundary that satisfies a Serrin-type problem, we prove sharp upper and lower bounds for the area of such a boundary. Then, we present the main result of this paper: a divergence formula for a special vector field on a given Riemannia
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