$C^{1,\beta}$-partial regularity of $p$-harmonic maps at the free boundary

Müller, Thomas

C^{1, β}

-partial regularity of

p

-harmonic maps at the free boundary

Müller, Thomas

Bollettino dell'Unione Matematica Italiana, Tome 5-A (2002), p. 79-107 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

We prove the partial $C^{1, β}$ -regolarity up to the free boundary of the $p$ -harmonic maps which minimize the $p$ -energy $\int {|D u|}^{p} d x$ .

Dimostriamo la $C^{1, β}$ -regolarità parziale fino alla frontiera libera delle mappe $p$ -armoniche che minimizzano la $p$ -energia $\int {|D u|}^{p} d x$ .

Publié le : 2002-02-01

MR 1881445 | Zbl 1177.49010

@article{BUMI_2002_8_5B_1_79_0,
     author = {Thomas M\"uller},
     title = {$C^{1,\beta}$-partial regularity of $p$-harmonic maps at the free boundary},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {5-A},
     year = {2002},
     pages = {79-107},
     zbl = {1177.49010},
     mrnumber = {1881445},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2002_8_5B_1_79_0}
}

Müller, Thomas. $C^{1,\beta}$-partial regularity of $p$-harmonic maps at the free boundary. Bollettino dell'Unione Matematica Italiana, Tome 5-A (2002) pp. 79-107. http://gdmltest.u-ga.fr/item/BUMI_2002_8_5B_1_79_0/

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