Imbedding estimates and elliptic equations with discontinuous coefficients in unbounded domain

  • Paola Cavaliere
  • Maria Longobardi
  • Antonio Vitolo

Abstract

In this paper we deal with the multiplication operator u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω), with g belonging to a space of Morrey type. We apply our results in order to establish an a-priori bound for the solutions of the Dirichlet problem concerning elliptic equations with discontinuous coefficients.
Published
1997-03-01
Section
Articoli