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

Rakotoson, Jean Michel

Indiana Univ. Math. J. 43, No. 2, 685-702 (1994).

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

MSC:

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

Keywords:

uniqueness of renormalized solutions