Uniqueness of the first eigenfunction for fully nonlinear equations: the radial case
type: Item
instance of: scholarly article
title: Uniqueness of the first eigenfunction for fully nonlinear equations: the radial case
zbMATH Open document ID: 1185.35148
DOI: 10.4171/ZAA/1398
author: I. Birindelli
author: F. Demengel
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2010-02-10T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_abstract.php
review text: Summary: The concept of eigenvalue has recently been extended to a large class of fully-nonlinear operators, here for fully-nonlinear operators in non divergence form that present singularities and degeneracies similar to the \(p\)-Laplacian we prove that in the radial case the eigenfunction is simple.
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B51
zbMATH DE Number: 5668458
zbMATH Keywords: eigenvalue
zbMATH Keywords: fully-nonlinear elliptic operators
zbMATH Keywords: comparison principle
MaRDI profile type: Publication
cites work: Q3770926
cites work: The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
cites work: Comparison principle and Liouville type results for singular fully nonlinear operators
cites work: First eigenvalue and maximum principle for fully nonlinear singular operators
cites work: Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
cites work: The Dirichlet problem for singular fully nonlinear operators
OpenAlex ID: W2061840190
description: scientific article; zbMATH DE number 5668458