WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES

Unal, CihanAydin, Ismail2025-03-232025-03-2320181304-72051304-7191https://hdl.handle.net/11486/7382In 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 Poincare inequality with respect to zero boundary values. We will introduce a capacity in sense to this defined space and, also, give several estimates.eninfo:eu-repo/semantics/closedAccessWeighted variable exponent Sobolev spacesSobolev capacityenergy integralWEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATESArticle362373388N/AWOS:000437057300006N/A