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math.DG2026
Semilinear overdetermined problems, a divergence formula, and geometric inequalities
Benedito Leandro, Ilton Menezes, Rafael Novais
Considering an -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 bounda…
math.DG2026
Solution for the Einstein-Maxwell equations invariant under an -dimensional group of dilations
Benedito Leandro, Ilton Menezes, Rafael Novais
We consider an electrostatic system whose spatial factor is conformal to an -dimensional Euclidean space. We provide a complete characterization of the most general ansatz, ther…