Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian (Q1327586)

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scientific article; zbMATH DE number 591116
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Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian
scientific article; zbMATH DE number 591116

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    Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian (English)
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    13 July 1994
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    Summary: The aim of this paper is to characterize the upper semicontinuous (resp. lower semicontinuous) viscosity sub (resp. super) solutions of the Laplacian which do not take the value \(+\infty\) (resp. \(-\infty\)) as precisely the sub (resp. super) harmonic functions.
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    upper and lower semicontinuous sub- and super solutions
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