Simple counterexamples to the 3G-inequality

Hansen W (2006)
Expositiones Mathematicae 24(1): 97-102.

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Abstract / Bemerkung
It is shown that the 3G-inequality G(x, z)G(z, y)/G(x, y) <= C(vertical bar x - z vertical bar(2 - d) + vertical bar z - y vertical bar(2 - d)) for domains D in R-d, d >= 3, already fails to hold if D contains a spine which is defined by a function phi satisfying lim inf(1 down arrow 0)phi(t)/t = 0. (c) 2005 Elsevier GmbH. All rights reserved.
Stichworte
3G-inequality; Green function
Erscheinungsjahr
2006
Zeitschriftentitel
Expositiones Mathematicae
Band
24
Ausgabe
1
Seite(n)
97-102
ISSN
0723-0869
Page URI
https://pub.uni-bielefeld.de/record/1600413

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Hansen W. Simple counterexamples to the 3G-inequality. Expositiones Mathematicae. 2006;24(1):97-102.
Hansen, W. (2006). Simple counterexamples to the 3G-inequality. Expositiones Mathematicae, 24(1), 97-102. doi:10.1016/j.exmath.2005.06.003
Hansen, W. (2006). Simple counterexamples to the 3G-inequality. Expositiones Mathematicae 24, 97-102.
Hansen, W., 2006. Simple counterexamples to the 3G-inequality. Expositiones Mathematicae, 24(1), p 97-102.
W. Hansen, “Simple counterexamples to the 3G-inequality”, Expositiones Mathematicae, vol. 24, 2006, pp. 97-102.
Hansen, W.: Simple counterexamples to the 3G-inequality. Expositiones Mathematicae. 24, 97-102 (2006).
Hansen, Wolfhard. “Simple counterexamples to the 3G-inequality”. Expositiones Mathematicae 24.1 (2006): 97-102.