2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168069We extend several known results on solvability in the Sobolev spaces $W^{1}_{p}$, $p\in[2,\infty)$, of SPDEs in divergence form in $\bR^{d}_{+}$ to equations having coefficients which are discontinuous in the space variable.23 pages, a few errors are correctedProbabilityAnalysis of PDEs60H15; 35R60On divergence form SPDEs with VMO coefficients in a half spacetext