The existence of positive solution for semilinear elliptic equations with multiple an inverse square potential and Hardy-Sobolev critical exponents (Q2632534)

Summary: Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. This result extends several recent results on the topic.