Saikat Mazumdar

collaborators

3 papers

math.DG2026

Barycenter technique for the higher order $Q$ -curvature equation

Saikat Mazumdar, Cheikh Birahim Ndiaye

Let $k \geq 1$ be an integer, and $(M, g)$ be a smooth, closed Riemannian manifold of dimension $2 k + 1 \leq n \leq 2 k + 3$ , or $(M, g)$ be locally conformally flat of dimension $n \geq 2 k + 1$ . Ap…

math.AP2026

Compactness of conformal metrics with constant $Q$ -curvature of higher order

Saikat Mazumdar, Bruno Premoselli

Let $k \geq 1$ be a positive integer and let $P_{g}$ be the GJMS operator $P_{g}$ of order $2 k$ on a closed Riemannian manifold $(M, g)$ of dimension $n > 2 k$ . We investigate the compactne…

math.AP2025

Compactness for the Hardy-Sobolev equation on manifolds

Hussein Cheikh Ali, Saikat Mazumdar

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ , and let $h \in C^{1} (M)$ be such that the operator $I^_{g} + h$ is coercive. Fix $x_{0} \in M$ and $s \in (0, 2)$ . W…

Barycenter technique for the higher order Q-curvature equation

Compactness of conformal metrics with constant Q-curvature of higher order

Compactness for the Hardy-Sobolev equation on manifolds

Barycenter technique for the higher order $Q$ -curvature equation

Compactness of conformal metrics with constant $Q$ -curvature of higher order