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Abstrakty
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.)
Czasopismo
Rocznik
Tom
Strony
5--19
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
- Campus Universitaire Faculte des Sciences de Tunis Departement de Mathematiques 2092 Tunis, Tunisi
Bibliografia
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- [5] R. Chemmam, H. Maagli, S. Masmoudi, M. Zribi, Combined effects in nonlinear singular elliptic problems in a bounded domain, Adv. Nonlinear Anal. 1 (2012) 4, 391-404.
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- [21] Z. Zhang, The asymptotic behaviour of the unique solution for the singular Lane--Emdem-Fowler equation, J. Math. Anal. Appl. 312 (2005), 33-43.
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Bibliografia
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