Article ID Journal Published Year Pages File Type
8896648 Journal of Functional Analysis 2018 26 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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