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Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five.
- Source :
-
Journal of Functional Analysis . Jul2018, Vol. 275 Issue 1, p170-195. 26p. - Publication Year :
- 2018
-
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 n ≥ 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 275
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 129564739
- Full Text :
- https://doi.org/10.1016/j.jfa.2018.02.002