Uniqueness of the first eigenfunction for fully nonlinear equations: the radial case

DOI10.4171/ZAA/1398zbMath1185.35148OpenAlexW2061840190MaRDI QIDQ847017

Isabeau Birindelli, Francoise Demengel

Publication date: 10 February 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=29&iss=1&rank=4

zbMATH Keywords

eigenvaluecomparison principlefully-nonlinear elliptic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Comparison principles in context of PDEs (35B51)

Related Items (4)

Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. II ⋮ Regularity for radial solutions of degenerate fully nonlinear equations ⋮ Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators ⋮ Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators

Cites Work

• Unnamed Item
• The Dirichlet problem for singular fully nonlinear operators
• Comparison principle and Liouville type results for singular fully nonlinear operators
• First eigenvalue and maximum principle for fully nonlinear singular operators
• Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

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