54 citations · 108 across the 26 of their papers we have counts for
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An Upper Bound of the Total Q-Curvature and Its Isoperimetric Deficit for Higher-dimensional Conformal Euclidean Metrics
Cheikh Birahim Ndiaye, Jie Xiao
The aim of this paper is to give not only an explicit upper bound of the total Q-curvature but also an induced isoperimetric deficit formula for the complete conformal metrics on $…
Curvature flows on four manifolds with boundary
Cheikh Birahim Ndiaye
Given a compact four dimensional smooth Riemannian manifold with smooth boundary, we consider the evolution equation by -curvature in the interior keeping the -curvat…
Constant T-curvature conformal metrics on 4-manifolds with boundary
Cheikh Birahim Ndiaye
In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M,g) with smooth boundary there exists a metric conformal to g with constant T-curvature,…
Existence results for mean field equations with turbulence
Cheikh Birahim Ndiaye
In this paper we consider the following form of the so-called Mean field equation arising from the statistical mechanics description of two dimensional turbulence \begin{equation}\…