- Tytuł:
- Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball
- Autorzy:
-
Graef, John R.
Hebboul, Doudja
Moussaoui, Toufik - Powiązania:
- https://bibliotekanauki.pl/articles/29519226.pdf
- Data publikacji:
- 2023
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Kirchhoff problem
p-Laplacian
positive radial solution
variational methods - Opis:
- In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the p-Laplacian $ -(a+b \sum_{\Omega_e} | \nabla u |^p dx) \Delta_p u = \lambda f (|x|, u), x ∈ \Omega_e, u=0 $ on $ \delta \Omega_e $, where λ > 0 is a parameter, $ Ω_e = {x ∈ \mathbb{R}^N : |x| > r_0}, r_0 > 0, N > p > 1, Δp $ is the p-Laplacian operator, and $ f ∈ C([r_0,+∞) × [0,+∞) , \mathbb{R} ) $ is a non-decreasing function with respect to its second variable. By using the Mountain Pass Theorem, they prove the existence of positive radial solutions for small values of λ.
- Źródło:
-
Opuscula Mathematica; 2023, 43, 1; 47-66
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł