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Bounded Pointwise Approximation of Solutions of Elliptic Equations

  • A. Bonilla (a1) and R. Trujillo-González (a1)

Abstract

We characterize open subsets U of N in which the bounded solutions of certain elliptic equations can be approximated pointwise by uniformly bounded solutions that are continuous in Ū. This result is established in terms of certain capacities. For closed subsets X, this characterization allows us to approximate bounded solutions in X ° uniformly on relatively closed subsets of X ° by solutions continuous on certain subsets of the boundary of X.

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References

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Bounded Pointwise Approximation of Solutions of Elliptic Equations

  • A. Bonilla (a1) and R. Trujillo-González (a1)

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