Stability of renormalized solutions of elliptic equations with measure data
Annalisa Malusa, Alain Prignet · 2002
Abstract. We prove the stability of Dirichlet problems of the type −div (aε(x, uε,∇uε)) = µε, uε = 0, with respect to suitable convergences of the nonlinear operators aε and of the measure data µε. As a consequence, we obtain the existence of a renormalized solution for a general class of nonlinear elliptic equations with right-hand side measure.