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• W2950658502 abstract "The aim of this article is: (a) to establish the existence of the best isoperimetric constants for the ( H 1 , BMO ) -normal conformal metrics e 2 u | d x | 2 on R n , n ⩾ 3 , i.e., the conformal metrics with the Q -curvature orientated conditions ( − Δ ) n / 2 u ∈ H 1 ( R n ) and u ( x ) = const. + ∫ R n ( log | ⋅ | | x − ⋅ | ) ( − Δ ) n / 2 u ( ⋅ ) d H n ( ⋅ ) 2 n − 1 π n / 2 Γ ( n / 2 ) ; (b) to prove that ( n ω n 1 n ) n n − 1 is the optimal upper bound of the best isoperimetric constants for the complete ( H 1 , BMO ) -normal conformal metrics with nonnegative scalar curvature; (c) to find the optimal upper bound of the best isoperimetric constants via the quotients of two power integrals of Green's functions for the n -Laplacian operators − div ( | ∇ u | n − 2 ∇ u ) ." @default.
• W2950658502 created "2019-06-27" @default.
• W2950658502 creator A5036782152 @default.
• W2950658502 date "2009-01-01" @default.
• W2950658502 modified "2023-09-28" @default.
• W2950658502 title "Toward best isoperimetric constants for <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mo>,</mml:mo><mml:mi mathvariant=italic>BMO</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-normal conformal metrics on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si2.gif display=inline overflow=scroll><mml:msup><mml:…" @default.
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• W2950658502 doi "https://doi.org/10.1016/j.aim.2008.09.016" @default.
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