Multiplicity of Positive Solutions to the Boundary-Value Problems for Fractional Laplacians
- Autores: Ustinov N.S.1
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Afiliações:
- St.Petersburg State University
- Edição: Volume 236, Nº 4 (2019)
- Páginas: 446-460
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242245
- DOI: https://doi.org/10.1007/s10958-018-4124-2
- ID: 242245
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Resumo
For the problem (−Δ)su=uq−1 in the annulus ΩR = BR+1 \ BR ∈ ℝn, a so-called “multiplicity effect” is established: for each N ∈ ℕ there exists R0 such that for all R ≥ R0 this problem has at least N different positive solutions. (−Δ)s in this problem stands either for Navier-type or for Dirichlet-type fractional Laplacian. Similar results were proved earlier for the equations with the usual Laplace operator and with the p-Laplacian operator.
Sobre autores
N. Ustinov
St.Petersburg State University
Autor responsável pela correspondência
Email: ustinns@yandex.ru
Rússia, St.Petersburg
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