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| In this talk we shall present existence results for a nonlinear eigenvalue problem depending on a real parameter $\lambda$, driven by a weighted $p$-Laplacian operator and involving subcritical nonlinearities in unbounded domains, under Robin boundary conditions. Different approaches and methods will be presented, according to the size $\lambda$ as well as to the assumptions on the nonlinearities, which could be either of Ambrosetti-Rabinowitz type or of Szulkin-Weth type. |
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