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Uniqueness of solutions of semilinear Poisson equations

Let R(n) denote n-dimensional Euclidean space, with n > 1. We study the uniqueness of positive solutions u(x), x ∈ R(n), of the semilinear Poisson equation Δu + f(u) = 0 under the assumption that u(x) → 0 as ǀxǀ → ∞. This type of problem arises in phase transition theory, in population genetics, and...

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Bibliografische gegevens
Gepubliceerd in:Proc Natl Acad Sci U S A
Hoofdauteurs: McLeod, Kevin, Serrin, James
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: National Academy of Sciences 1981
Onderwerpen:
Online toegang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC349094/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593115/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.78.11.6592
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