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On montre l'existence et l'unicite de la solution positive d'une equation quasi lineaire elliptique obtenue a partir de la generalisation du modele de Thomas-Fermi-von Weisacker sans repulsion electronique. On etudie ensuite le comportement asymptotique de cette solution au voisinage de l'infini

Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique