Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2

We consider the following boundary value problem -Δu= g(x,u) + f(x,u) x\in Ω u=0 x\in \partial Ω where $g(x,-ξ)=-g(x,ξ)$ and $g$ has subcritical exponential growth in $\mathbb{R} ^2$. Using the method developed by Bolle, we prove that this problem has infinitely many solutions under suitable conditions on the growth of $g(u)$ and $f(u)$.

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