2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154650In dimension $n=3$, we prove that the singular set of any stationary solution to the Liouville equation $-Δu=e^u$, which belongs to $W^{1,2}$, has Hausdorff dimension at most 1.20 pagesAnalysis of PDEs35D10, 35J60Partial Regularity for Stationary Solutions to Liouville-Type Equation in dimension 3text