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math.DG2026
On Quadrature Surface Free Boundary Problems for the Riemannian -Laplacian
Ababacar Sadikhe Djite, Diaraf Seck
We study a quadrature-surface free boundary problem driven by the Riemannian -Laplacian on a smooth compact finite-dimensional Riemannian manifold. We formulate the problem as a…
math.DG2026
Shape Optimization and Bernoulli Free Boundary Problems for the Riemannian -Laplacian
Ababacar Sadikhe Djite, Diaraf Seck
We study an exterior Bernoulli-type free boundary problem associated with the Riemannian -Laplacian on a compact Riemannian manifold. Following the shape-optimization strategy o…