A system with weights and with critical Sobolev exponent

Asma Benhamida, Rejeb Hadiji

In this paper, we investigate the minimization problem : $$ \inf_{ \displaystyle{\begin{array}{lll} u \in H_0^1(Ω), v \in H_0^1(Ω),\\ \quad \| u \|_{L^{q}} =1, \quad \| v \|_{L^{q}…