3 papers
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…
math.AP2026
A Riemannian Extension of a Quadrature Surface Free Boundary Problem: Stability and Optimality
Ababacar Sadikhe Djite, Diaraf Seck
We study a quadrature surface free boundary problem on a smooth compact finite-dimensional Riemannian manifold . The problem is formulated as a shape optimization problem in…