- Tytuł:
- Eigenvalue problems for anisotropic equations involving a potential on Orlicz-Sobolev type spaces
- Autorzy:
-
Stancut, I. L.
Stircu, I. D. - Powiązania:
- https://bibliotekanauki.pl/articles/254757.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
anisotropic Orlicz-Sobolev space
potential
critical point
weak solution
eigenvalue - Opis:
- In this paper we consider an eigenvalue problem that involves a nonhomogeneous elliptic operator, variable growth conditions and a potential Von a bounded domain in Rn (N ≥ 3) with a smooth boundary. We establish three main results with various assumptions. The first one asserts that any λ > 0 is an eigenvalue of our problem. The second theorem states the existence of a constant [formula] such that any [formula] is an eigenvalue, while the third theorem claims the existence of a constant λ* > 0 such that every λ ∈ [λ*∞) is an eigenvalue of the problem.
- Źródło:
-
Opuscula Mathematica; 2016, 36, 1; 81-101
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł