Author

Ababacar Sadikhe Djite

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Preprint Sep 2026

Shape Optimization and Bernoulli Free Boundary Problems for the Riemannian $p$-Laplacian

We study an exterior Bernoulli-type free boundary problem associated with the Riemannian $p$-Laplacian on a compact Riemannian manifold. Following the shape-optimization strategy of Ly and Seck, we formulate the corresponding volume-constrained shape optimization problem, derive its first shape derivative, obtain the o...

Ababacar Sadikhe Djite, D. Seck · 2 citations · ⚡1

Preprint Sep 2026

On Quadrature Surface Free Boundary Problems for the Riemannian $p$-Laplacian

We study a quadrature-surface free boundary problem driven by the Riemannian $p$-Laplacian on a smooth compact finite-dimensional Riemannian manifold. We formulate the problem as a shape optimization problem and develop an intrinsic admissible class based on a uniform Riemannian $RC$-$GNP$ condition~\cite{DS3}. We esta...

Ababacar Sadikhe Djite, D. Seck · 0 citations

Preprint Aug 2026

A Riemannian Extension of a Quadrature Surface Free Boundary Problem: Stability and Optimality

We study a quadrature surface free boundary problem on a smooth compact finite-dimensional Riemannian manifold $(M,g)$. The problem is formulated as a shape optimization problem involving a Dirichlet problem for the Laplace--Beltrami operator, with a geometric condition on the free boundary. Under suitable uniform geom...

Ababacar Sadikhe Djite, D. Seck · 1 citation