Asymptotic Behaviour of Relaxed Dirichlet Problems Involving a Dirichlet-Poincaré Form

  • Marco Biroli

    Politecnico di Milano, Italy
  • Nicoletta A. Tchou

    Université Paris 6, France; Université de Picardie “Jules Verne”, Amiens, France

Abstract

We study the convergence of the solutions of a sequence of relaxed Dirichlet prob lems relative to Dirichlet forms to the solution of the -limit problem. In particular we prove the strong convergence in and the existence of “correctors” for the strong convergence in . The above two results are generalizations to our framework of previous results proved in [10] in the usual uniformly elliptic setting.

Cite this article

Marco Biroli, Nicoletta A. Tchou, Asymptotic Behaviour of Relaxed Dirichlet Problems Involving a Dirichlet-Poincaré Form. Z. Anal. Anwend. 16 (1997), no. 2, pp. 281–309

DOI 10.4171/ZAA/764