Sharp existence criteria for positive solutions of Hardy--Sobolev type systems
Sharp existence criteria for positive solutions of Hardy--Sobolev type systems
This paper examines systems of poly-harmonic equations of the Hardy--Sobolev type and the closely related weighted systems of integral equations involving Riesz potentials. Namely, it is shown that the two systems are equivalent under some appropriate conditions. Then a sharp criterion for the existence and non-existence of positive solutions is …