Gauss curvature estimates for minimal graphs
Maria Nowak ; Magdalena Wołoszkiewicz
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011), / Harvested from The Polish Digital Mathematics Library
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We estimate the Gauss curvature of nonparametric minimal surfaces over the two-slit plane ℂ∖((-∞,-1]∪[1,∞)) at points above the interval (-1,1).

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:289777 
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     author = {Maria Nowak and Magdalena Wo\l oszkiewicz},
     title = {Gauss curvature estimates for minimal graphs},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {65},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_113-120}
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Maria Nowak; Magdalena Wołoszkiewicz. Gauss curvature estimates for minimal graphs. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_113-120/

Duren, P., Harmonic Mappings in the Plane, Cambridge Univ. Press, Cambridge, 2004.

Grigorian, A., Szapiel, W., Two-slit harmonic mappings, Ann. Univ. Mariae Curie-Skłodowska Sect. A 49 (1995), 59-84.

Hengartner, W., Schober, G., Curvature estimates for some minimal surfaces, Complex Analysis, Articles Dedicated to Albert Pfluger on the Occasion of his 80th Birthday, J. Hersch and A. Huber (eds.), Birh¨auser Verlag, Basel, 1988, pp. 87-110.

Jun, S. H., Curvature estimates for minimal surfaces, Proc. Amer. Math. Soc. 114 (1992), no. 2, 527-533.

Livingston, A. E., Univalent harmonic mappings II, Ann. Polon. Math. 67 (1997), no. 2, 131-145.