54 citations · 108 across the 26 of their papers we have counts for
5 papers · 1 filter
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…
Cherrier-Escobar problem for the elliptic Schroedinger-to-Neumann map
Mohammed Aldawood, Cheikh Birahim Ndiaye
In this paper, we study a Cherrier-Escobar problem for the extended problem corresponding to the elliptic Schroedinger-to-Neumann map on a compact 3-dimensional Riemannian manifold…
Leray-Schauder degree for the resonant Q-curvature problem in even dimensions
Cheikh Birahim Ndiaye
In this paper, using the theory of critical points at infinity of Bahri, we derive an exact bubbling rate formula for the resonant prescribed Q-curvature equation on closed even-di…
Optimal control for the Paneitz obstacle problem
Cheikh Birahim Ndiaye
In this paper, we study a natural optimal control problem associated to the Paneitz obstacle problem on closed 4-dimensional Riemannian manifolds. We show the existence of an optim…
The Brezis-Nirenberg problem on non-contractible bounded domains of R^3
Mohammed Aldawood, Cheikh Birahim Ndiaye
In this paper, we study the Brezis-Nirenberg problem on bounded smooth domains of R3. Using the algebraic topological argument of Bahri-Coron[2] as implemented in [6] combined with…