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- W1966786070 abstract "Let Ω be a bounded smooth domain in Rn(n≥2). This paper deals with the Moser–Trudinger inequality for functions with mean value zero. Using blowing up analysis, the author proves that sup{∫Ωeα|u|nn−1dx:u∈H1,n(Ω),∫Ω|∇u|ndx=1,∫Ωudx=0} is attained for any α≤αn, and the supremum is infinity for any α>αn, where αn=n(ωn−1/2)1/(n−1), and ωn−1 is the area of the unit sphere in Rn." @default.
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- W1966786070 date "2007-06-01" @default.
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- W1966786070 title "Moser–Trudinger inequality for functions with mean value zero" @default.
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- W1966786070 doi "https://doi.org/10.1016/j.na.2006.04.004" @default.
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