JournalszaaVol. 16, No. 2pp. 281–309

Asymptotic Behaviour of Relaxed Dirichiet Problems Involving a Dirichlet-Poincar Form

  • Marco Biroli

    Politecnico di Milano, Italy
  • N. Tchou

    Université de Rennes I, France
Asymptotic Behaviour of Relaxed Dirichiet Problems Involving a Dirichlet-Poincar Form cover
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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 Γ-limit problem. In particular we prove the strong convergence in D0P[a,Ω](1p2)D^P_0[a,Ω](1≤p≤2) and the existence of "correctors" for the strong convergence in D0[a,Ω]D0[a,Ω]. 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, N. Tchou, Asymptotic Behaviour of Relaxed Dirichiet Problems Involving a Dirichlet-Poincar Form. Z. Anal. Anwend. 16 (1997), no. 2, pp. 281–309

DOI 10.4171/ZAA/764