We prove the continuous dependence on the data of weak solutions to Dirichlet problem for nonlinear elliptic equations with a first order term and datum in dual spaces of classical Sobolev spaces. We deduce uniqueness results.
Cite this article
Maria Francesca Betta, Anna Mercaldo, Continuous dependence on the data for nonlinear elliptic equations via symmetrization. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 21 (2010), no. 1, pp. 1–14DOI 10.4171/RLM/557