54 citations · 132 across the 14 of their papers we have counts for
14 papers
Prescribing scalar curvatures: loss of minimizability
Martin Mayer, Chaona Zhu
Prescribing conformally the scalar curvature on a closed manifold with negative Yamabe invariant as a given function is possible under smallness assumptions on $K_{+}=\max\{K,0…
Prescribing scalar curvatures: on the negative Yamabe case
Martin Mayer, Chaona Zhu
The problem of prescribing conformally the scalar curvature on a closed Riemannian manifold of negative Yamabe invariant is always solvable, when the function to be prescribed…
Asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian
Martin Mayer, Cheikh Birahim Ndiaye
We study the asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian for conformal infinities of asymptotically hyperbolic manifolds. We deriv…
Prescribing Morse scalar curvatures: incompatibility of non existence
Martin Mayer
Given a closed manifold of positive Yamabe invariant and for instance positive Morse functions upon it, the conformally prescribed scalar curvature problem raises the question, whe…
Prescribing Morse scalar curvatures: pinching and Morse theory
Andrea Malchiodi, Martin Mayer
We consider the problem of prescribing conformally the scalar curvature on compact manifolds of positive Yamabe class in dimension . We prove new existence results using…
Prescribing scalar curvatures: non compactness versus critical points at infinity
Martin Mayer
We illustrate an example of a generic, positive function K on a Riemannian manifold to be conformally prescribed as the scalar curvature, for which the corresponding Yamabe type L2…
Prescribing Morse scalar curvatures: critical points at infinity
Martin Mayer
The problem of prescribing conformally the scalar curvature of a closed Riemannian manifold as a given Morse function reduces to solving an elliptic partial differential equation w…
Prescribing Morse scalar curvatures: subcritical blowing-up solutions
Andrea Malchiodi, Martin Mayer
Prescribing conformally the scalar curvature of a Riemannian manifold as a given function consists in solving an elliptic PDE involving the critical Sobolev exponent. One way of at…
Prescribing Morse scalar curvatures: blow-up analysis
Andrea Malchiodi, Martin Mayer
We study finite-energy blow-ups for prescribed Morse scalar curvatures in both the subcritical and the critical regime. After general considerations on Palais-Smale sequences we de…
Fractional Yamabe problem on locally flat conformal infinities of Poincare-Einstein manifolds
Martin Mayer, Cheikh Birahim Ndiaye
We study in this paper the fractional Yamabe problem first considered by Gonzalez-Qing on the conformal infinity of a Poincaré-Einstein manifold wi…
A scalar curvature flow in low dimensions
Martin Mayer
Let be a dimensional, closed Riemannian manifold of positive Yamabe invariant. For a smooth function on we consider a scalar curvature flow, tha…
The inverse Willmore flow
Martin Mayer
Instead of investigating the Willmore flow for two-dimensional, closed immersed surfaces directly we turn to its inversion. We give a lower bound on the lifespan of this inverse Wi…
Barycenter technique and the Riemann mapping problem of Escobar
Martin Mayer, Cheikh Birahim Ndiaye
We solve the remaining cases of the Riemann mapping problem of Escobar. Indeed, performing a suitable scheme of the barycenter technique of Bahri-Coron via the Chen's bubbles, we s…
Proof of the remaining cases of the Yamabe boundary problem
Martin Mayer, Cheikh Birahim Ndiaye
In this paper, we solve the remaining cases of the boundary Yamabe problem introduced by Escobar in 1992. Indeed, using the bubbles of Brendle-Chen, which are an adaptation to mani…