- Tytuł:
- On a class of nonhomogenous quasilinear problems in Orlicz-Sobolev spaces
- Autorzy:
- Souayah, A. K.
- Powiązania:
- https://bibliotekanauki.pl/articles/255997.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
variable exponent Lebesgue space
Orlicz-Sobolev space
critical point
weak solution - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 4; 731-750
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł