| Abstract: |
| We present recent existence and regularity results for radial eigenfunctions and eigenvalues of fully nonlinear equations posed in punctured balls, in presence of singular potentials. We show cases of existence of bounded solutions, of existence of unbounded solutions and of non existence of solutions.
Furthermore, we give for Pucci`s operators and quadratic potential the explicit value of the eigenvalue, which generalizes the explicit value of the Hardy--Sobolev constant for the Laplacian. |
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