{O}n a nonlinear critical elliptic equation with a perturbed {H}ardy potential
Résumé
In this work, we use a minimisation argument to show the existence of a nontrivial solution to
−∆u − \frac{a(x)}{|x|^2}u = u^{2^* −1} in Ω
u ≥ 0 a.e. in Ω
u = 0 in ∂Ω
where Ω ⊂ R^n , n ≥ 3, is a smooth domain.
Origine : Fichiers produits par l'(les) auteur(s)
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