A priori bounds for an indefinite superlinear elliptic equation with exponential growth

This paper considers positive solutions to problem − u = λu +h(x)eu, x∈ R2, where λ is a parameter, h(x) ∈ C2(R2,R) changes sign. Uniform a priori bounds are obtained using less restrictive conditions from previous works. © 2007 Elsevier Inc. All rights reserved.