Le Matematiche (Nov 2002)

Solvability of the Dirichlet problem in W^{2,p} for elliptic equations with discontinuous coefficients in unbounded domains

  • Loredana Caso,
  • Paola Cavaliere,
  • Maria Transirico

Journal volume & issue
Vol. 57, no. 2
pp. 287 – 302

Abstract

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In this paper some W^{2, p}-estimates for the solutions of the Dirichlet problem for a class of elliptic equations with discontinuous coefficients in unbounded domains are obtained. As a consequence, an existence and uniqueness theorem for such a problem is proved.