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Uniqueness of positive radial solutions of superlinear elliptic equations in annuli.
- Source :
-
Journal of Differential Equations . May2021, Vol. 284, p522-545. 24p. - Publication Year :
- 2021
-
Abstract
- We present a generalized comparison identity for a two point boundary value problem, and we apply it to show the uniqueness of positive radial solutions of { Δ u (x) + f (u (x)) = 0 in A a , b , u (x) = 0 on ∂ A a , b , where n ∈ N with n ≥ 2 , 0 < a < b < ∞ , A a , b = { x ∈ R N : a < | x | < b } and f ∈ C 1 [ 0 , ∞) is a superlinear function. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 284
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 149471255
- Full Text :
- https://doi.org/10.1016/j.jde.2021.02.047