On a class of nonhomogenous quasilinear problems in Orlicz-Sobolev spaces

• Autorzy: Souayah A. K.
• Języki publikacji: EN

Abstrakty

EN

We study the nonlinear boundary value problem [formula], where Ω is a bounded domain in RN with smooth boundary, λ, μ are positive real numbers, q and α are continuous functions and a1,a2 are two mappings such that a1 (/t/)t; a2(/t/)t; are increasing homeomorphisms from R to R. The problem is analysed in the context of Orlicz-Soboev spaces. First we show the existence of infinitely many weak solutions for any λ, μ > 0. Second we prove that for any μ > 0, there exists λ* sufficiently small, and λ* large enough such that for any λ ∈ (0, λ*) ∪ (λ*, ∞), the above nonhomogeneous quasilinear problem has a non-trivial weak solution.

Słowa kluczowe

EN

variable exponent Lebesgue space; Orlicz-Sobolev space; critical point; weak solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 4
• Strony: 731--750
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Souayah A. K.

• Institut Preparatoire aux Etudes d’ingenieurs de Gafsa Campus Universitaire Sidi Ahmed Zarrouk - 2112 Gafsa, Tunisia,

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