| Abstract: |
| In this talk, we present some recent results on existence and nonexistence of positive radial solutions for a Dirichlet problem both in the case of the $p$-Laplacian operator and of the mean curvature operator with weights in a ball with a suitable radius. Because of the presence of different weights, possibly singular or degenerate, the problem is delicate and requires an accurate qualitative analysis of the solutions, as well as the use of Liouville type results based on an appropriate Pohozaev type identity. |
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