Geodesic
The gradient lemma
Urban Cegrell1
1 Umeå University SE-901 87 Umeå, Sweden and TFM Mid Sweden University S-851 70 Sundsvall, Sweden
Annales Polonici Mathematici, Tome 91 (2007) no. 2-3, pp. 143-146.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that if a decreasing sequence of subharmonic functions converges to a function in $W_{\rm loc}^{1,2}$ then the convergence is in $W_{\rm loc}^{1,2}$.
DOI : 10.4064/ap91-2-4
Keywords: decreasing sequence subharmonic functions converges function loc convergence loc

Urban Cegrell 1

1 Umeå University SE-901 87 Umeå, Sweden and TFM Mid Sweden University S-851 70 Sundsvall, Sweden 
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Urban Cegrell. The gradient lemma. Annales Polonici Mathematici, Tome 91 (2007) no. 2-3, pp. 143-146. doi : 10.4064/ap91-2-4. http://geodesic.mathdoc.fr/articles/10.4064/ap91-2-4/

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