approximations of convex, subharmonic, and plurisubharmonic functions
R. E. Greene, H. Wu (1979)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Convex functions on complete noncompact manifolds : differentiable structure”
approximations of convex, subharmonic, and plurisubharmonic functions
Length of curves on Lip manifolds
Giuseppe De Cecco, Giuliana Palmieri (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this paper the length of a curve on a Lipschitz Riemannian manifold is defined. It is shown that the above definition is consistent with the definition of the geodesic distance already introduced by the authors, both in a geometrical and analytical way.
Rigidity of minimal volume Alexandrov spaces.
Storm, Peter A. (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Approximate smoothings of locally Lipschitz functionals
Aleksander Ćwiszewski, Wojciech Kryszewski (2002)
Bollettino dell'Unione Matematica Italiana
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The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in , is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.
Canonical Lipschitz structures on compact Hilbert cube manifolds
Jouni Luukkainen (1985)
Commentationes Mathematicae Universitatis Carolinae
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