WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY AND CAPACITY ESTIMATES

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:36 Issue:2
WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY AND CAPACITY ESTIMATES

WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY AND CAPACITY ESTIMATES

Authors : Cihan ÜNAL, İsmail AYDIN

Pages : 373-388

View : 32 | Download : 9

Publication Date : 2018-06-01

Article Type : Research Paper

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

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