Ababacar Sadikhe Djite

collaborators

4 papers

math.DG2026

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

Ababacar Sadikhe Djite, Diaraf Seck

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…

math.DG2026

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

Ababacar Sadikhe Djite, Diaraf Seck

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 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 $(M, g)$ . The problem is formulated as a shape optimization problem in…

math.DG2022

Shape stability of a quadrature surface problem in infinite Riemannian manifolds

Ababacar Sadikhe Djité, Diaraf Seck

In this paper, we give a simple control on how an optimal shape can be characterized. The framework of Riemannian manifold of infinite dimension is essential. And the covariant der…

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

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

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

Shape stability of a quadrature surface problem in infinite Riemannian manifolds

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

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