Geodesic
Harmonic functions on Alexandrov spaces and their applications
Petrunin, Anton1
1 Department of Mathematics, The Pennsylvania State University, University Park, PA 16802
Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 135-141.

Voir la notice de l'article provenant de la source American Mathematical Society

The main result can be stated roughly as follows: Let $M$ be an Alexandrov space, $\Omega \subset M$ an open domain and $f:\Omega \to \mathbb {R}$ a harmonic function. Then $f$ is Lipschitz on any compact subset of $\Omega$. Using this result I extend proofs of some classical theorems in Riemannian geometry to Alexandrov spaces.
DOI : 10.1090/S1079-6762-03-00120-3

Petrunin, Anton 1

1 Department of Mathematics, The Pennsylvania State University, University Park, PA 16802 
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Petrunin, Anton. Harmonic functions on Alexandrov spaces and their applications. Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 135-141. doi : 10.1090/S1079-6762-03-00120-3. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-03-00120-3/

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