Blow-up analysis for the prescribed mean curvature equation on R2

We consider the H-system Δu=2H(u)ux∧uy on R2, where H∈C0(R3,R) satisfies H(q)=H∞+o(1/|q|) as |q|→+∞ and supq∈R3|(H(q)−H∞)q|<1, for some H∞∈R∖{0}. We show that a sequence of approximate solutions of the H-system on R2 admits a limit configuration made by -bubbles, namely nonconstant solutions of -systems on R2, and can be the mapping H or the constant H∞.