Geodesic
Vanishing $p$-capacity of singular sets for $p$-harmonic functions
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study a counterpart of the removable singularity property of $p$-harmonic functions. It is shown that p-capacity of the singular set of any $p$-harmonic function vanishes, and such function is always weakly $N(p-1)/(N-p)$-integrable. Several related results are also shown.
Classification : 35B05, 35B45, 35J15, 35J70
Keywords: p-harmonic function, capacity, singular set, removable singularity, weak Sobolev space 
@article{EJDE_2011__2011__a38,
     author = {Sato, Tomohiko and Suzuki, Takashi and Takahashi, Futoshi},
     title = {Vanishing $p$-capacity of singular sets for $p$-harmonic functions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a38/}
}
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%J Electronic Journal of Differential Equations
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Sato, Tomohiko; Suzuki, Takashi; Takahashi, Futoshi. Vanishing $p$-capacity of singular sets for $p$-harmonic functions. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a38/