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

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