Please use this identifier to cite or link to this item:
https://doi.org/10.1016/j.aim.2012.04.007
| DC Field | Value | |
|---|---|---|
| dc.title | Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds | |
| dc.contributor.author | Ngô, Q.A. | |
| dc.contributor.author | Xu, X. | |
| dc.date.accessioned | 2014-10-28T02:34:57Z | |
| dc.date.available | 2014-10-28T02:34:57Z | |
| dc.date.issued | 2012-07 | |
| dc.identifier.citation | Ngô, Q.A., Xu, X. (2012-07). Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Advances in Mathematics 230 (4-6) : 2378-2415. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2012.04.007 | |
| dc.identifier.issn | 00018708 | |
| dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/103242 | |
| dc.description.abstract | 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. © 2012 Elsevier Ltd. | |
| dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.aim.2012.04.007 | |
| dc.source | Scopus | |
| dc.subject | Critical exponent | |
| dc.subject | Einstein-scalar field equation | |
| dc.subject | Lichnerowicz equation | |
| dc.subject | Mountain pass theorem | |
| dc.subject | Negative exponent | |
| dc.subject | Palais-Smale condition | |
| dc.subject | Picone type identity | |
| dc.subject | Sign-changing nonlinearity | |
| dc.type | Article | |
| dc.contributor.department | MATHEMATICS | |
| dc.description.doi | 10.1016/j.aim.2012.04.007 | |
| dc.description.sourcetitle | Advances in Mathematics | |
| dc.description.volume | 230 | |
| dc.description.issue | 4-6 | |
| dc.description.page | 2378-2415 | |
| dc.identifier.isiut | 000305498300028 | |
| Appears in Collections: | Staff Publications | |
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