Boundary value problems for the Dunkl Laplacian

• Autorzy: Chrouda M. B. , Mabrouk K. E. , Hassine K.

Identyfikatory

DOI

10.19195/0208-4147.38.2.1

• Języki publikacji: EN

Abstrakty

EN

Let Δ_k be the Dunkl Laplacian on R^d associated with a reflection group W and a multiplicity function k. The purpose of this paper is to establish the existence and the uniqueness of a positive solution on the unit ball B of R^d to the following boundary value problem: Δ_ku = φ(u) in B and u = f on ∂B: We distinguish two cases of nonnegative perturbation φ: trivial and nontrivial.

Słowa kluczowe

EN

Dunkl Laplacian; Dirichlet problems; Green operators; semilinear equations

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2018
• Tom: Vol. 38, Fasc. 2
• Strony: 249--269
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Chrouda M. B.

• Monastir University, Higher Institute of Computer Science and Mathematics, 5000 Monastir, Tunisia

autor

Mabrouk K. E.

• Sousse University, High School of Sciences and Technology, 4011 Hammam Sousse, Tunisia

autor

Hassine K.

• Monastir University, Faculty of Science of Monastir, 5000 Monastir, Tunisia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).