Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data

Olivier Guibé (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

We give a partial uniqueness result concerning comparable renormalized solutions of the nonlinear elliptic problem $-\diw(\aop(x,Du))=\mu$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\mu$ is a Radon measure with bounded variation on $\Omega$.

Mots clés: renormalized solution; Radon measure

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Guibé. Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data. Annali di Matematica Pura ed Applicata, 2002, 180 (4), pp.441--449. ⟨10.1007/s102310100022⟩. ⟨hal-00263469⟩