| Abstract: |
| In this talk I will present some existence results for quasilinear Choquard equations driven by the $p$-Laplacian operator including a $C^1$ nonlinearity $G$, in $\mathbb{R}^N$.
Assuming \textit{Berestycki--Lions} type conditions on $G$, we prove the existence of ground state solutions $u\in W^{1, p}(\mathbb{R}^N)$ by means of variational methods.
Moreover, we establish some qualitative properties of the solutions when $G$ is even and non--decreasing.
The talk is based on a joint work with Vincenzo Ambrosio and Teresa Isernia. |
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