2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212126We prove a few existence results of a solution for a static system with a coupling of thermoviscoelastic type. As this system involves $L^1$ coupling terms we use the techniques of renormalized solutions for elliptic equations with $L^1$ data. We also prove partial uniqueness results.Analysis of PDEs35J55 (35J60 35K57 35Q72)Existence and uniqueness results for a nonlinear stationary systemtext