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- Title
Singular Solutions of Elliptic Equations with Iterated Exponentials.
- Authors
Ghergu, Marius; Goubet, Olivier
- Abstract
We construct positive singular solutions for the problem - Δ u = λ exp (e u) in B 1 ⊂ R n ( n ≥ 3 ), u = 0 on ∂ B 1 , having a prescribed behaviour around the origin. Our study extends the one in Miyamoto (J Differ Equ 264:2684–2707, 2018) for such nonlinearities. Our approach is then carried out to elliptic equations featuring iterated exponentials.
- Publication
Journal of Geometric Analysis, 2020, Vol 30, Issue 2, p1755
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-019-00277-1