On the total mean curvature of a nonrigid surface.
Alexandrov, Victor A. (2009)
Sibirskij Matematicheskij Zhurnal
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Alexandrov, Victor A. (2009)
Sibirskij Matematicheskij Zhurnal
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Janusz Krzyszkowski (1995)
Annales Polonici Mathematici
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We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.
Suo, Hongmin (2009)
The Journal of Nonlinear Sciences and its Applications
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Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)
Journal of Convex Analysis
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Liangpeng Xiong, Xiaoli Liu (2012)
Kragujevac Journal of Mathematics
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Siegfried Momm (1996)
Annales Polonici Mathematici
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A certain linear growth of the pluricomplex Green function of a bounded convex domain of at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.
Fiedler, Bernd (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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Reshetnyak, Yu.G. (2002)
Sibirskij Matematicheskij Zhurnal
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Bauschke, Heinz H., Borwein, Jonathan M., Tseng, Paul (2000)
Journal of Convex Analysis
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Matkowski, Janusz (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Branislav Mijajlović (2006)
Kragujevac Journal of Mathematics
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Karol Pąk (2014)
Formalized Mathematics
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In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...