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

We consider the H-system u = 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 H˜ -bubbles, namely nonconstant solutions of H˜ -systems on R2, and H˜ can be the mapping H or the constant H∞. © 2008 Elsevier Inc. All rights reserved.