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Soit , ouvert de et , continue. On dit qu’une majorante surharmonique de dans est minimale si cette majorante surharmonique est harmonique dans l’ensemble (ouvert) où elle diffère de . Beaucoup de propriétés de ces fonctions sont semblables à celles des fonctions harmoniques (lesquelles correspondent à ) ; par exemple la famille entière est uniformément équicontinue dans chaque partie compacte de , relativement à la structure uniforme de . On traite le problème de Dirichlet : détermination...
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