Zobrazeno 1 - 10
of 339
pro vyhledávání: '"Ndiaye Cheikh"'
We study inequalities on the volume of Minkowski sum in the class of anti-blocking bodies. We prove analogues of Pl\"unnecke-Ruzsa type inequality and V. Milman inequality on the concavity of the ratio of volumes of bodies and their projections. We a
Externí odkaz:
http://arxiv.org/abs/2409.14214
We show that the half-ball in $\mathbb{R}^4$ can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier--Escobar-type problem on the half-ball.
Externí odkaz:
http://arxiv.org/abs/2401.00937
Autor:
Ndiaye, Cheikh Saliou
In this note, we study B{\'e}zout type inequalities for mixed volume and Minkowski sum of convex bodies in R n. We first give a new proof and we extend inequalities of Jian Xiao on mixed discriminants. Then, we use mass transport method to deduce som
Externí odkaz:
http://arxiv.org/abs/2304.12065
Autor:
Ndiaye, Cheikh Birahim
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 Riemannian manifold is positive, we show that the optimal controls are
Externí odkaz:
http://arxiv.org/abs/2302.07807
Autor:
Ndiaye, Cheikh Birahim, Sun, Liming
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-harmonic equation on $\mathbb{R}^4_+$ with some conformally covariant b
Externí odkaz:
http://arxiv.org/abs/2210.00256
Autor:
Ndiaye, Cheikh Birahim
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-dimensional Riemannian manifolds. Using this, we derive new existence re
Externí odkaz:
http://arxiv.org/abs/2206.12964
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 with boundary. Using the algebraic topological argument of Bahri-Coro
Externí odkaz:
http://arxiv.org/abs/2206.08838
Autor:
Ndiaye, Cheikh Birahim
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 optimal control which is an optimal state and induces also a conformal metr
Externí odkaz:
http://arxiv.org/abs/2205.04562
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 the Brendle[4]- Schoen[8]'s bubble construction, we solve the problem
Externí odkaz:
http://arxiv.org/abs/2202.05147