Harmonic functions satisfying weighted sign conditions on the boundary (Q1337585)

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scientific article; zbMATH DE number 683171
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Harmonic functions satisfying weighted sign conditions on the boundary
scientific article; zbMATH DE number 683171

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    Harmonic functions satisfying weighted sign conditions on the boundary (English)
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    10 November 1994
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    It is shown that a harmonic function defined in a neighborhood of 0 in a half space and vanishing of infinite order at 0, must vanish identically if the product of the function with a homogeneous polynomial does not change sign near 0 on the boundary.
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    unique continuation
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    Hopf lemma
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    harmonic function
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