On «power-logarithmic» solutions of the Dirichlet problem for elliptic systems in $ K_{d} \times \mathbb{R}^{n-d} $, where $ K_{d} $ is a d-dimensional cone

Kozlov, Vladimir A.; Maz'ya, Vladimir G.

On «power-logarithmic» solutions of the Dirichlet problem for elliptic systems in

K_{d} \times R^{n - d}

, where

K_{d}

is a d-dimensional cone

Kozlov, Vladimir A. ; Maz'ya, Vladimir G.

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996), p. 17-30 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

A description of all «power-logarithmic» solutions to the homogeneous Dirichlet problem for strongly elliptic systems in a $n$ -dimensional cone $K = K_{d} \times R^{n - d}$ is given, where $K_{d}$ is an arbitrary open cone in $R^{d}$ and $n > d > 1$ .

Viene data una descrizione di tutte le soluzioni «power-logarithmic» del problema omogeneo di Dirichlet per un sistema fortemente ellittico in un cono $n$ -dimensionale $K = K_{d} \times R^{n - d}$ , dove $K_{d}$ è un qualsiasi cono aperto in $R^{d}$ e $n > d > 1$ .

Publié le : 1996-05-01

MR 1437648 | Zbl 0871.35032

@article{RLIN_1996_9_7_1_17_0,
     author = {Vladimir A. Kozlov and Vladimir G. Maz'ya},
     title = {On \guillemotleft{}power-logarithmic\guillemotright{} solutions of the Dirichlet problem for elliptic systems in \( K\_{d} \times \mathbb{R}^{n-d} \), where \( K\_{d} \) is a d-dimensional cone},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {7},
     year = {1996},
     pages = {17-30},
     zbl = {0871.35032},
     mrnumber = {1437648},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1996_9_7_1_17_0}
}

Kozlov, Vladimir A.; Maz'ya, Vladimir G. On «power-logarithmic» solutions of the Dirichlet problem for elliptic systems in \( K_{d} \times \mathbb{R}^{n-d} \), where \( K_{d} \) is a d-dimensional cone. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996) pp. 17-30. http://gdmltest.u-ga.fr/item/RLIN_1996_9_7_1_17_0/

Bibliographie

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