Uniqueness for a class p-Laplacian problems when a parameter is large

• Autorzy: Alreshidi B. , Hai D. D.

Identyfikatory

DOI

10.7494/OpMath.2024.44.1.5

• Języki publikacji: EN

Abstrakty

EN

We prove uniqueness of positive solutions for the problem−Δpu = λf(u) in Ω, u = 0 on ∂Ω, where 1 < p < 2 and p is close to 2, Ω is bounded domain in Rn with smooth boundary ∂Ω, f : [0,∞) → [0,∞) with f(z) ∼ zβ at ∞ for some β ∈ (0, 1), and λ is a large parameter. The monotonicity assumption on f is not required even for u large.

Słowa kluczowe

EN

singular p-Laplacian; uniqueness; positive solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 1
• Strony: 5--17
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Alreshidi B.

• Mississippi State University, Department of Mathematics and Statistics, Mississippi State, MS 39762, USA

autor

Hai D. D.

• Mississippi State University, Department of Mathematics and Statistics, Mississippi State, MS 39762, USA

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)