Existence and uniqueness results for a nonlinear stationary system

Olivier Guibé (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

We 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.

Mots clés: nonlinear coupled system; renormalized solutions; $L^1$ data

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Guibé. Existence and uniqueness results for a nonlinear stationary system. NoDEA Nonlinear Differential Equations Appl., 2003, 10 (3), pp.309--328. ⟨10.1007/s00030-003-1035-8⟩. ⟨hal-00263482⟩