We report on some recent results obtained for positive radial solutions of Lane-Emden-Fowler type equations with Pucci’s operators as principal parts. The pre- sented results include the asymptotic analysis of almost critical solutions in the unit ball, existence results in annular domains and sharp Liouville-type results for exterior Dirichlet problems.
Vengono presentati alcuni risultati recenti riguardanti soluzioni radiali positive di equazioni tipo Lane-Emden-Fowler aventi gli operatori di Pucci come parte principale. I risultati includono un’analisi asintotica per soluzioni quasi-critiche nella palla unitaria, teoremi di esistenza per domini anulari e teoremi di tipo Liouville ottimali per problemi di Dirichlet in domini esterni.
Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators / Leoni, Fabiana. - In: BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR. - ISSN 2240-2829. - 10:1(2019), pp. 1-13. [10.6092/issn.2240-2829/10360]
Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
Fabiana Leoni
2019
Abstract
We report on some recent results obtained for positive radial solutions of Lane-Emden-Fowler type equations with Pucci’s operators as principal parts. The pre- sented results include the asymptotic analysis of almost critical solutions in the unit ball, existence results in annular domains and sharp Liouville-type results for exterior Dirichlet problems.| File | Dimensione | Formato | |
|---|---|---|---|
|
Leoni_Radial-solutions_2019.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
276.16 kB
Formato
Adobe PDF
|
276.16 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
