- Tytuł:
- On the existence of three solutions for quasilinear elliptic problem
- Autorzy:
- Goncerz, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/254869.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
critical point
elliptic problem
minimax inequality
p-Laplacian
three critical points theorem
weak solution - Opis:
- We consider a quasilinear elliptic problem of the type - Δpu = λ (ƒ (u)+ μg(u)) in Ω, u/∂Ω = 0, where Ω ⊂ RN is an open and bounded set, ƒ, g are continuous real functions on R and , λ, μ ∈ R. We prove the existence of at least three solutions for this problem using the so called three critical points theorem due to Ricceri.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 3; 473-486
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł