| Contents |
| In this talk we will be present the existence of solutions for elliptic
equations of the form $-\mbox{div}(|\nabla u|^{n-2}\nabla u) +
V(x)|u|^{n-2}u=g(x,u)+\lambda h$ in $\mathbb{R}^n$ with $n\geq2$.
Here the potential $V(x)$ can change sign and the nonlinearity
$g(x,u)$ is possibly discontinuous and may exhibit exponential
growth. The proof relies on the application of a fixed point
result and a version of the Trudinger-Moser inequality. |
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