Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896648 | Journal of Functional Analysis | 2018 | 26 Pages |
Abstract
We construct clustering positive solutions for a perturbed critical elliptic equation on a closed manifold of dimension n=4,5. Such a construction is already available in the literature in dimensions nâ¥6 (see for instance [10], [14], [30], [32], [36]) and not possible in dimension 3 by [25]. This also provides new patterns for the Lin-Ni [26] problem on closed manifolds and completes results by Brézis and Li [8] about this problem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pierre-Damien Thizy, Jérôme Vétois,