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• W2152603886 abstract "We study positive1-harmonic functions in bounded domains. We use the theory of viscosity solutions in this work. We prove a boundary Har- nack inequality and a comparison result for such functions near a at portion of the boundary where they vanish. We also study 1-capacitary functions on convex rings. We show that the gradient satises a global maximum prin- ciple, it is nonvanishing outside a set of measure zero and the level sets are star-shaped." @default.
• W2152603886 created "2016-06-24" @default.
• W2152603886 creator A5017028240 @default.
• W2152603886 date "2002-01-01" @default.
• W2152603886 modified "2023-09-24" @default.
• W2152603886 title "ON THE PROPERTIES OF 1-HARMONIC FUNCTIONS AND AN APPLICATION TO CAPACITARY CONVEX RINGS" @default.
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• W2152603886 hasPublicationYear "2002" @default.
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