- Tytuł:
- On the solvability of Dirichlet problem for the weighted p-Laplacian
- Autorzy:
-
Mielczarek, Dominik
Rydlewski, Jerzy
Szlachtowska, Ewa - Powiązania:
- https://bibliotekanauki.pl/articles/729562.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
weighted p-Laplacian
weak solutions
solvability
semi-inner product spaces - Opis:
- In this paper we are concerned with the existence and uniqueness of the weak solution for the weighted p-Laplacian. The purpose of this paper is to discuss in some depth the problem of solvability of Dirichlet problem, therefore all proofs are contained in some detail. The main result of the work is the existence and uniqueness of the weak solution for the Dirichlet problem provided that the weights are bounded. Furthermore, under this assumption the solution belongs to the Sobolev space $W₀^{1,p}(Ω)$.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 1; 89-103
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł