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The Dirichlet problem for elliptic equations in unbounded domains of the plane - MaRDI portal

The Dirichlet problem for elliptic equations in unbounded domains of the plane (Q949082)

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scientific article; zbMATH DE number 5354255
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The Dirichlet problem for elliptic equations in unbounded domains of the plane
scientific article; zbMATH DE number 5354255

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    The Dirichlet problem for elliptic equations in unbounded domains of the plane (English)
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    20 October 2008
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    Summary: We prove a uniqueness and existence theorem for the Dirichlet problem in \(W^{2,p}\) for second-order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.
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    linear elliptic equations
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    Dirichlet problem
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    unbounded domains
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    VMO
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