Liouville theorems for nonnegative solutions to static weighted Schrödinger–Hartree–Maxwell type equations with combined nonlinearities

Abstract

In this paper, we are concerned with the physically interesting static weighted Schrödinger–Hartree–Maxwell type equations (-Δ)α2u(x)=c1|x|a(1|x|σ∗|u|q1)up1(x)+c2|x|bup2(x)inRnwith combined nonlinearities, where n≥ 2 , 0 < α≤ 2 , 0 < σ< n, c1,c2≥0 with c1+ c2> 0 , 0 ≤ a, b < α≤ 2.