ISSN: 1304-7191 | E-ISSN: 1304-7205
Weighted Variable Exponent Sobolev Spaces with Zero Boundary Values and Capacity Estimates
1Sinop University, Department of Mathematics, SİNOP
Sigma J Eng Nat Sci 2018; 36(2): 373-388
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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.