Uniqueness of renormalized solutions in a \(T\)-set for the \(L^ 1\)-data problem and the link between various formulations. (English) Zbl 0805.35035

We prove the uniqueness of the so-called renormalized solution in an appropriate \(T\)-set for the problem \(Au + a(u) = \mu \in L^ 1 (\Omega)\), where \(A\) is an operator satisfying Leray-Lions type conditions.
Reviewer: J.M.Rakotoson


35J65 Nonlinear boundary value problems for linear elliptic equations
35R05 PDEs with low regular coefficients and/or low regular data
35D99 Generalized solutions to partial differential equations
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