Existence and asymptotic behavior of positive solutions of a semilinear elliptic system in a bounded domain

• Autorzy: Chaieb M. , Dhifli A. , Zermani S.

Identyfikatory

DOI

10.7494/OpMath.2016.36.3.315

• Języki publikacji: EN

Abstrakty

EN

Let Ω be a bounded domain in [formula] with a smooth boundary [formula]. We discuss in this paper the existence and the asymptotic behavior of positive solutions of the following semilinear elliptic system [formula] Here r, s ∈ R, α, β < 1 such that γ := (1 - α) (1 - β ) - rs > 0 and the functions [formula] are nonnegative and satisfy some appropriate conditions with reference to Karamata regular variation theory.

Słowa kluczowe

EN

semilinear elliptic system; asymptotic behavior; Karamata class; sub-super solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 3
• Strony: 315--336
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Chaieb M.

• Faculte des Sciences de Tunis Departement de Mathematiques Campus Universitaire, 2092 Tunis, Tunisi

autor

Dhifli A.

• Faculte des Sciences de Tunis Departement de Mathematiques Campus Universitaire, 2092 Tunis, Tunisi

autor

Zermani S.

• Faculte des Sciences de Tunis Departement de Mathematiques Campus Universitaire, 2092 Tunis, Tunisi

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.