Positive solutions with specific asymptotic behavior for a polyharmonic problem on Rn

• Autorzy: Dhifli A.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2015.35.1.5

• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with positive solutions of the semilinear polyharmonic equation [formula] on Rn, where m and n are positive integers with n > 2m, α ∈ e (—1,1). The coefncient a is assumed to satisfy[formula], where Λ ∈ (2m,∞) and [formula]is positive with [formula], one also assumes that [formula]. We prove the existence of a positive solution u such that [formula], with [formula] and a function L, given explicitly in terms of L and satisfying the same condition as infinity. (Given positive functions ∫ and g on Rn, ∫≈ g means that [formula]for some constant c > 1.)

Słowa kluczowe

EN

asymptotic behavior; Dirichlet problem; Schauder fixed point theorem; positive bounded solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 1
• Strony: 5--19
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Dhifli A.

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

Bibliografia

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