Boundary Value Problems (Oct 2008)

Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains

  • Maria Transirico,
  • Sara Monsurrò,
  • Serena Boccia

DOI
https://doi.org/10.1155/2008/901503
Journal volume & issue
Vol. 2008

Abstract

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This paper is concerned with the study of the Dirichlet problem for a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝn, n≥3. We state a regularity result and we can deduce an existence and uniqueness theorem.