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Axiomatic potential theory, asymptotic values and elliptic differential operators - MaRDI portal

Axiomatic potential theory, asymptotic values and elliptic differential operators (Q1977854)

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scientific article; zbMATH DE number 1455862
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Axiomatic potential theory, asymptotic values and elliptic differential operators
scientific article; zbMATH DE number 1455862

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    Axiomatic potential theory, asymptotic values and elliptic differential operators (English)
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    7 December 2000
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    The authors generalize a result of R. J. M. Hornblower on the boundary behaviour of subharmonic functions in the unit disc of the complex plane. They prove that these results are also true in a much more general setting of linear axiomatic potential theory. Let us observe that applications to differential operators and in particular to some uniformly elliptic second order operators in divergence form are considered.
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    subharmonic functions
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    linear axiomatic potential theory
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    boundary behaviour
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    uniformly elliptic second-order in divergence form
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