Optimal regularity results in Sobolev-Lorentz spaces for linear elliptic equations with $L^1$- or measure data

Hyunseok Kim, Young-Ran Lee, Jihoon Ok

It has been well known that if $\hat{I}\text{c◯}$ is a bounded $C^1$-domain in ${\mathbb{R}}^n,n\ge 2$, then for every Radon measure $f$ on $\hat{I}\text{c◯}$ with finite total variation, there exists a unique weak…