Séminaire d'analyse
Radial singular solutions of fully nonlinear equations in punctured ballsFabiana Leoni (Université Rome La Sapienza)
Thursday 14 November 2024 13:30 - Tours - E2290
Résumé :
We consider radial solutions of fully nonlinear, uniformly elliptic equations posed in punctured balls, in presence of radial singular quadratic potentials. We discuss both the principal eigenvalues problem and the case of equations having also absorbing superlinear zero order terms: for the former problem, we explicitly compute the principal eigenvalues, thus obtaining an extension in the fully nonlinear framework of the Hardy-Sobolev constant; for the latter case, we provide a complete classification of solutions based on their asymptotic behaviour near the singularity. The results are based on joint papers with I. Birindelli and F. Demengel.
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