$W$-Sobolev spaces: Theory, Homogenization and Applications

Alexandre B. Simas, Fabio J. Valentim

Fix strictly increasing right continuous functions with left limits $W_i:\bb R \to \bb R$, $i=1,...,d$, and let $W(x)={\sum }_{i=1}^d{W}_i(x_i)$ for $x\in\bb R^d$. We construct the $…