54 citations · 108 across the 26 of their papers we have counts for
30 papers
Barycenter technique for the higher order -curvature equation
Saikat Mazumdar, Cheikh Birahim Ndiaye
Let be an integer, and be a smooth, closed Riemannian manifold of dimension , or be locally conformally flat of dimension . Ap…
Prescribed -curvature flow on the four-dimensional unit ball
Pak Tung Ho, Cheikh Birahim Ndiaye, Liming Sun +1
In this paper, we study the prescribed -curvature problem on the unit ball of via the -curvature flow approach. By combining Ache-Chang's inequ…
An optimal boundary control approach to the Cherrier-Escobar problem
Cheikh Birahim Ndiaye, Abdul-Malik Saiid
We study an optimal boundary control problem associated to the boundary obstacle problem for the couple conformal Laplacian and conformal Robin operator on n-dimensional compact Ri…
A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball
Jeffrey S. Case, Yueh-Ju Lin, Stephen E. McKeown +2
We show that the half-ball in can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be see…
Optimal control for the conformal Laplacian obstacle problem
Cheikh Birahim Ndiaye
We study an optimal control problem associated to the conformal Laplacian obstacle problem on closed n-dimensional Riemannian manifolds with n >2. When the Yamabe invariant of the…
Remarks on extremals of sharp Sobolev trace inequalities on the unit balls
Cheikh Birahim Ndiaye, Liming Sun
We show explicit forms for extremals of some fourth-order sharp trace inequalities on the unit balls recently proved by Ache-Chang. We also give a classification result of the bi-h…