Weighted Variable Sobolev Spaces and Capacity
Weighted Variable Sobolev Spaces and Capacity
We define weighted variable Sobolev capacity and discuss properties of capacity in the space <svg style="vertical-align:-2.21957pt;width:89.3125px;" id="M1" height="16.5375" version="1.1" viewBox="0 0 89.3125 16.5375" width="89.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0">𝑊</tspan> </text> <text transform="matrix(1,0,0,-1,-57.68,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0">1</tspan> <tspan style="font-size: 8.75px; " …