A strong $k$-edge-coloring of a graph G is an edge-coloring with $k$ colors in which every color class is an induced matching. The strong chromatic index of $G$, denoted by $chi_{s}(G)$, is the minimum $k$ for which $G$ has a strong $k$-edge-coloring. In 1985, ErdH{o}s and Nev{s}etv{r}il conjectured that $chi_{s}(G)leqfrac{5}{4}Delta(G)^2$, where $Delta(G)$ is the maximum degree of $G$. When $G$ is a graph with maximum degree at most 3, the conjecture was verified independently by Andersen and Hor{a}k, Qing, and Trotter. In this paper, we consider the list version of strong edge-coloring. In particular, we show that every subcubic graph has strong list-chromatic index at most 11 and every planar subcubic graph has strong list-chromatic index at most 10.
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