On the asymptotically linear problem for an elliptic equation with an indefinite nonlinearity

Mónica Clapp, Cristian Morales-Encinos, Alberto Saldaña +1

We study the semilinear elliptic problem \[ -Δu = Q_Ω |u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where \( Q_Ω = χ_Ω - χ_{\mathbb{R}^N \setminus Ω} \) for a bounded smooth domain…