- Tytuł:
- Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
- Autorzy:
- Kong, L.
- Powiązania:
- https://bibliotekanauki.pl/articles/254793.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
critical points
p(x)-biharmonic operator
weak solutions
mountain pass lemma - Opis:
- We study the multiplicity of weak solutions to the following fourth order nonlinear elliptic problem with a p(x)-biharmonic operator [formula] where Ω is a smooth bounded domain in RN, [formula] is the p(x)-biharmonic operator, and λ > 0 is a parameter. We establish sufficient conditions under which there exists a positive number λ* such that the above problem has at least two nontrivial weak solutions for each λ > λ*. Our analysis mainly relies on variational arguments based on the mountain pass lemma and some recent theory on the generalized Lebesgue-Sobolev spaces [formula].
- Źródło:
-
Opuscula Mathematica; 2016, 36, 2; 253-264
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł