Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589936 | Journal of Functional Analysis | 2016 | 30 Pages |
Abstract
On any closed Riemannian manifold of dimension greater than 7, we construct examples of background physical coefficients for which the Einstein–Lichnerowicz equation possesses a non-compact set of positive solutions. This yields in particular the existence of an infinite number of positive solutions in such cases.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bruno Premoselli, Juncheng Wei,