Seminario del 2024

Dicembre
05
2024
Fabiana Leoni, Sapienza Università di Roma
Radial singular solutions of fully nonlinear equations in punctured balls
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
didattica della matematica
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 the asymptotic behavior near the singularity. The results are based on joint papers with I. Birindelli and F. Demengel.
organizzato da: Fausto Ferrari, per il Seminario Bruno Pini, nell'ambito delle attività del progetto GNAMPA-2024:" Free boundary problems in noncommutative structures and degenerate operators"

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