- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Vol: 36 Issue: 2
- WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES
WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES
Authors : Cihan Ünal, Ismail Aydin
Pages : 373-388
View : 18 | Download : 7
Publication Date : 2018-06-01
Article Type : Research
Abstract :In this paper, we define weighted variable exponent Sobolev space with zero boundary values and investigate some properties of this space with weighted variable Sobolev capacity. We obtain Poincaré inequality with respect to zero boundary values. We will introduce a capacity in sense to this defined space and, also, give several estimates.Keywords : Weighted variable exponent Sobolev spaces, Sobolev capacity, energy integral.