46 citations · 67 across the 14 of their papers we have counts for
5 papers · 1 filter
Constant curvature foliations on asymptotically hyperbolic spaces
Rafe Mazzeo, Frank Pacard
Let be an asymptotically hyperbolic manifold with a smooth conformal compactification. We establish a general correspondence between semilinear elliptic equations of scalar…
The Toda system and multiple-end solutions of autonomous planar elliptic problems
Manuel del Pino, Michał Kowalczyk, Frank Pacard +1
We construct a new class of positive solutions for a classical semilinear elliptic problem in the plane which arise for instance as the standing-wave problem for the standard nonli…
On the Kähler classes of constant scalar curvature metrics on blow ups
Claudio Arezzo, Frank Pacard
In this note we clarify the structure of the moduli space of constant scalar curvature Kaehler metrics as one approaches the boundary of the Kaehler cone on cscK manifolds blown up…
Boundary singularities for weak solutions of semilinear elliptic problems
Manuel del Pino, Monica Musso, Frank Pacard
We construct positive weak solutions of a class of semilinear elliptic equation which vanish in suitable trace sense on the boundary of a given smooth bounded N-dimensional domain,…
A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
Emmanuel Hebey, Frank Pacard, Daniel Pollack
We establish new existence and non-existence results for positive solutions of the Einstein-scalar field Lichnerowicz equation on compact manifolds. This equation arises from the H…