Comparison results for solutions of elliptic problems via symmetrization

  • Guido Trombetti

    Dipartimento di Matematica e Applicazioni R. Caccioppoli, France
  • Pierre-Louis Lions

    Ceremade, Université Paris-Dauphine France
  • Silvano Matarasso

    Dipartimento di Matematica- CIRAM, Università di Bologna, Italy
  • Angelo Alvino

    Dipartimento di Matematica e Applicazioni R. Caccioppoli, France

Abstract

We give some comparison results for solutions of Dirichlet problems of elliptic equations and variational inequalities by means of Schwarz symmetrization.

Résumé

Nous donnons divers résultats de comparaison obtenus par la symétrisation de Schwarz pour les solutions d’équations et inéquations elliptiques.

Cite this article

Guido Trombetti, Pierre-Louis Lions, Silvano Matarasso, Angelo Alvino, Comparison results for solutions of elliptic problems via symmetrization. Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 2, pp. 167–188

DOI 10.1016/S0294-1449(99)80011-0