On the nonexistence of positive solutions of polyharmonic systems in RNRN

In this work, we consider the polyharmonic system {(−Δ)mu=vp,(−Δ)mv=uq,in RN, with m≥1,N>2m,p,q>0m≥1,N>2m,p,q>0, where (−Δ)m is the polyharmonic operator. We obtain some nonexistence results for positive solutions for this system.