- Tytuł:
- Existence and multiplicity results for nonlinear problems involving the p(x)-laplace operator
- Autorzy:
-
Tsouli, N.
Darhouche, O. - Powiązania:
- https://bibliotekanauki.pl/articles/256023.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
critical points
variational method
generalized Lebesgue-Sobolev spaces
p(x)-Laplacian - Opis:
- In this paper we study the following nonlinear boundary-value problem [formula] where Ω ⊂ RN is a bounded domain with smooth boundary [formula] is the outer unit normal derivative on [formula] are two real numbers such that [formula] is a continuous function on Ω with [formula] are continuous functions. Under appropriate assumptions on ƒ and g, we obtain the existence and multiplicity of solutions using the variational method. The positive solution of the problem is also considered.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 3; 621-638
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł