- Tytuł:
- The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights
- Autorzy:
-
Sanhaji, Ahmed
Dakkak, Ahmed
Moussaoui, Mimoun - Powiązania:
- https://bibliotekanauki.pl/articles/29519370.pdf
- Data publikacji:
- 2023
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
p-Laplacian
first eigencurve
singular weights
Neumann boundary conditions - Opis:
- This article is intended to prove the existence and uniqueness of the first eigencurve, for a homogeneous Neumann problem with singular weights associated with the equation $ −\Delta_p u = \alpha m_1 |u|^{p−2} u + \beta m_2 |u|^{p−2} u $ in a bounded domain $ \Omega \subset \mathbb{R}^N $. We then establish many properties of this eigencurve, particularly the continuity, variational characterization, asymptotic behavior, concavity and the differentiability.
- Źródło:
-
Opuscula Mathematica; 2023, 43, 4; 559-574
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł