- Tytuł:
- Existence results and a priori estimates for solutions of quasilinear problems with gradient terms
- Autorzy:
-
Filippucci, Roberta
Lini, Chiara - Powiązania:
- https://bibliotekanauki.pl/articles/255859.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
existence result
quasilinear problems
a priori estimates - Opis:
- In this paper we establish a priori estimates and then an existence theorem of positive solutions for a Dirichlet problem on a bounded smooth domain in [formula] with a nonlinearity involving gradient terms. The existence result is proved with no use of a Liouviiie theorem for the limit problem obtained via the usual blow up method, in particular we refer to the modified version by Ruiz. In particular our existence theorem extends a result by Lorca and Ubilla in two directions, namely by considering a nonlinearity which includes in the gradient term a power of u and by removing the growth condition for the nonlinearity ∫ at u = 0.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 2; 195-205
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł