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arxiv: 0803.1780 · v1 · submitted 2008-03-12 · 🧮 math.AP

Existence and uniqueness results for a nonlinear stationary system

classification 🧮 math.AP
keywords resultssystemcouplingexistenceproveuniquenessdataelliptic
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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.

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