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\(L^\infty\)-error estimate for a noncoercive system of elliptic quasi-variational inequalities: a simple proof. (English) Zbl 1123.35322

Summary: we provide a simple proof to derive an \(L^ \infty\)-error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production. The key idea is a discrete \(L^ \infty\)-stability property owned by the corresponding coercive problem.

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35J60 Nonlinear elliptic equations
49J40 Variational inequalities
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