3 papers
math.AP2016
A pointwise finite-dimensional reduction method for a fully coupled system of Einstein-Lichnerowicz type
Bruno Premoselli
We construct non-compactness examples for the fully coupled Einstein-Lichnerowicz constraint system in the focusing case. The construction is obtained by combining pointwise a prio…
math.AP2015
Non-compactness and infinite number of conformal initial data sets in high dimensions
Bruno Premoselli, Juncheng Wei
On any closed Riemannian manifold of dimension greater than , we construct examples of background physical coefficients for which the Einstein-Lichnerowicz equation possesses a…
math.AP2015
Stability and instability of the Einstein-Lichnerowicz constraint system
Bruno Premoselli
We investigate the relevance of the conformal method by investigating stability issues for the Einstein-Lichnerowicz conformal constraint system in a nonlinear scalar-field setting…