Isoperimetric Inequalities for the Least Harmonic Majorant of | x | p

1987 ◽  
Vol 299 (2) ◽  
pp. 431 ◽  
Author(s):  
Makoto Sakai
Keyword(s):  
Isoperimetric Inequalities ◽  
Harmonic Majorant

scholarly journals A note on n-harmonic majorants

1986 ◽  
Vol 34 (3) ◽  
pp. 461-472
Author(s):  
Hong Oh Kim ◽  
Chang Ock Lee
Keyword(s):  
Harmonic Function ◽  
Complex Plane ◽  
Unit Disc ◽  
Dirichlet Integral ◽  
Harmonic Majorant ◽  
Harmonic Majorants

Suppose D (υ) is the Dirichlet integral of a function υ defined on the unit disc U in the complex plane. It is well known that if υ is a harmonic function in U with D (υ) < ∞, then for each p, 0 < p < ∞, |υ|p has a harmonic majorant in U.We define the “iterated” Dirichlet integral Dn (υ) for a function υ on the polydisc Un of Cn and prove the polydisc version of the well known fact above:If υ is an n-harmonic function in Un with Dn (υ) < ∞, then for each p, 0 < p < ∞, |υ|p has an n-harmonic majorant in Un.

scholarly journals Nonlocal quantitative isoperimetric inequalities

2015 ◽  
Vol 54 (3) ◽  
pp. 2421-2464 ◽  
Author(s):  
Agnese Di Castro ◽  
Matteo Novaga ◽  
Berardo Ruffini ◽  
Enrico Valdinoci
Keyword(s):  
Isoperimetric Inequalities

Isoperimetric inequalities for capacities in the plane

1992 ◽  
Vol 292 (1) ◽  
pp. 191-195 ◽  
Author(s):  
V. Andrievskii ◽  
W. Hansen ◽  
N. Nadirashvili
Keyword(s):  
Isoperimetric Inequalities

Isoperimetric inequalities for sectors in the Minkowski 2-spacetime

1998 ◽  
Vol 63 (1-2) ◽  
pp. 17-24 ◽  
Author(s):  
Hyoungsick Bahn ◽  
Sungpyo Hong
Keyword(s):  
Isoperimetric Inequalities

Isoperimetric inequalities and the homology of groups

1993 ◽  
Vol 113 (1) ◽  
pp. 531-560 ◽  
Author(s):  
G. Baumslag ◽  
C. F. Miller ◽  
H. Short
Keyword(s):  
Isoperimetric Inequalities
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