@article {,
	title = {Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds},
	journal = {Advances in Mathematics},
	volume = {230},
	year = {2012},
	pages = {2378{\textendash}2415},
	abstract = {<p>This article mainly concerns with the non-existence, existence, and multiplicity results for positive solutions to the Einstein-scalar field Lichnerowicz equation on closed manifolds with a negative conformal-scalar field invariant. This equation arises from the Hamiltonian constraint equation for the Einstein-scalar field system in general relativity. Our analysis introduces variational techniques to the analysis of the Hamiltonian constraint equation, especially those cases when the prescribed scalar curvature-scalar field function may change sign. To our knowledge, such a problem remains open.</p>

<p>\&nbsp;</p>
},
	issn = {0001-8708},
	doi = {10.1016/j.aim.2012.04.007},
	url = {http://dx.doi.org/10.1016/j.aim.2012.04.007},
	author = {Ng{\^o}, Quốc Anh and Xu, Xingwang}
}
