- Tytuł:
- Solutions to p(x)-Laplace type equations via nonvariational techniques
- Autorzy:
- Avci, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/255416.pdf
- Data publikacji:
- 2018
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Leray-Lions type operator
nonlinear monotone operator
approximation
variable Lebesgue spaces - Opis:
- In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone operator theory and approximation method. Under some natural conditions, we show that a weak limit of approximate solutions is a solution of the given quasilinear elliptic partial differential equation involving variable exponent.
- Źródło:
-
Opuscula Mathematica; 2018, 38, 3; 291-305
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł