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math.AP2013★ 2 cited
Stability of the Einstein-Lichnerowicz constraints system
Olivier Druet, Bruno Premoselli
We study the Einstein-Lichnerowicz constraints system, obtained through the conformal method when addressing the initial data problem for the Einstein equations in a scalar field t…
math.AP2013
Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
Bruno Premoselli
We prove the stability of the Einstein-scalar field Lichnerowicz equation under subcritical perturbations of the critical nonlinearity in dimensions 3, 4 and 5. As a consequence, w…
math.AP2013★ 18 cited
The Einstein-scalar field constraint system in the positive case
Bruno Premoselli
We prove the existence of solutions to the conformal Einstein-scalar constraint system of equations for closed compact Riemannian manifolds in the positive case. Our results apply…