Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators

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 presented results include the asymptotic analysis of almost critical solutions in the unit ball,  existence results in annular domains and s...

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Main Author: Fabiana Leoni
Format: Article
Language:English
Published: University of Bologna 2019-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/10360
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spelling doaj-6c0a9b08a29b4a4e9bcc2966cd13ccf12020-11-25T01:49:39ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292019-12-0110111310.6092/issn.2240-2829/103608784Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operatorsFabiana Leoni0Dipartimento di Matematica, Sapienza Università di RomaWe report on some recent results obtained for positive radial solutions of Lane-Emden-Fowler type equations with Pucci's operators as principal parts. The presented 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.https://mathematicalanalysis.unibo.it/article/view/10360pucci's extremal operatorsradial solutionscritical exponents
collection DOAJ
language English
format Article
sources DOAJ
author Fabiana Leoni
spellingShingle Fabiana Leoni
Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
Bruno Pini Mathematical Analysis Seminar
pucci's extremal operators
radial solutions
critical exponents
author_facet Fabiana Leoni
author_sort Fabiana Leoni
title Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
title_short Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
title_full Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
title_fullStr Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
title_full_unstemmed Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators
title_sort radial solutions of lane-emden-fowler equations with pucci's extremal operators
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2019-12-01
description 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 presented 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.
topic pucci's extremal operators
radial solutions
critical exponents
url https://mathematicalanalysis.unibo.it/article/view/10360
work_keys_str_mv AT fabianaleoni radialsolutionsoflaneemdenfowlerequationswithpuccisextremaloperators
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