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Bounds for elliptic operators in weighted spaces

Abstract

Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.

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Correspondence to Loredana Caso.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Caso, L. Bounds for elliptic operators in weighted spaces. J Inequal Appl 2006, 76215 (2006). https://doi.org/10.1155/JIA/2006/76215

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Keywords

  • Boundary Condition
  • Weight Function
  • Elliptic Equation
  • Dirichlet Problem
  • Elliptic Operator