Geodesic
$C^{1,\beta}$-partial regularity of $p$-harmonic maps at the free boundary
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 1, pp. 79-107 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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We prove the partial $C^{1, \beta}$-regolarity up to the free boundary of the $p$-harmonic maps which minimize the $p$-energy $\int |Du|^{p} \, dx$. 
@article{BUMI_2002_8_5B_1_a2,
     author = {M\"uller, Thomas},
     title = {$C^{1,\beta}$-partial regularity of $p$-harmonic maps at the free boundary},
     journal = {Bollettino della Unione matematica italiana},
     pages = {79--107},
     year = {2002},
     volume = {Ser. 8, 5B},
     number = {1},
     zbl = {1177.49010},
     mrnumber = {MR1881445},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_1_a2/}
}
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Müller, Thomas. $C^{1,\beta}$-partial regularity of $p$-harmonic maps at the free boundary. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 1, pp. 79-107. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_1_a2/