Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems
Hamburger, Christoph
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 63-81 / Harvested from Biblioteca Digitale Italiana di Matematica
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We prove global partial regularity of weaksolutions of the Dirichlet problem for the nonlinear superelliptic system div⁡A⁢(x,u,D⁢u)+B⁢(x,u,D⁢U)=0, under natural polynomial growth of the coefficient functions A and B. We employ the indirect method of the bilinear form and do not use a Caccioppoli or a reverse Hölder inequality.

Si dimostra un risultato di regolarità parziale globale per le soluzioni deboli del problema di Dirichlet associato al sistema superellittico non lineare div⁡A⁢(x,u,D⁢u)+B⁢(x,u,D⁢U)=0 con ipotesi di crescita naturale polinomiale delle funzioni coefficienti A e B. Si applica il metodo indiretto della forma bilineare e non si fa uso di una diseguaglianza di Caccioppoli né di una diseguaglianza di Hölder al contrario.

Publié le : 2007-02-01
@article{BUMI_2007_8_10B_1_63_0,
     author = {Christoph Hamburger},
     title = {Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {63-81},
     zbl = {1178.35178},
     mrnumber = {2310958},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_1_63_0}
}

Hamburger, Christoph. Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 63-81. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_1_63_0/

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