A maximal regular boundary for solutions of elliptic differential equations
Annales de l'Institut Fourier, Tome 18 (1968) no. 1, pp. 283-308.

Soit 𝒜 une classe harmonique de Brelot, définie sur W. Il est donné un critère de régularité en termes de barrières, pour les points d’une frontière idéale. Soit ℌ un sous-treillis banachique de ℬ𝒜 W . Si 𝒜 est hyperbolique, la frontière idéale compactifiante déterminée par ℌ contient une “frontière harmonique” Γ ℌ qui satisfait le critère de régularité et ℌ≅𝒞 R (Γ ℌ ). Entre autres applications, on a la théorie des frontières de Wiener et Royden et des comparaisons de classes harmoniques.

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     title = {A maximal regular boundary for solutions of elliptic differential equations},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
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Loeb, Peter; Walsh, Bertram. A maximal regular boundary for solutions of elliptic differential equations. Annales de l'Institut Fourier, Tome 18 (1968) no. 1, pp. 283-308. doi : 10.5802/aif.284. http://www.numdam.org/articles/10.5802/aif.284/

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