Eigenvalues for Radially Symmetric Fully Nonlinear Operators

DOI10.1080/03605301003674848zbMath1206.35186arXiv0908.1060OpenAlexW2062807418MaRDI QIDQ4933534

Alexander Quaas, Maria J. Esteban, Patricio L. Felmer

Publication date: 14 October 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1060

zbMATH Keywords

eigenvalueinitial value problemglobal bifurcationradial symmetryhomogeneous operatorfully nonlineaer operatorzeroes of eigenfunctions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15) Bifurcations in context of PDEs (35B32)

Related Items (11)

Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. II ⋮ Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms ⋮ Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry ⋮ On radial solutions for a fully non linear degenerate or singular PDE ⋮ Maximum and comparison principles to Lane‐Emden systems ⋮ Fujita type exponent for fully nonlinear parabolic equations and existence results ⋮ Pucci eigenvalues on geodesic balls ⋮ Liouville type theorem and decay estimates for solutions of fully nonlinear elliptic equation ⋮ Radial solutions of Lane-Emden-Fowler equations with Pucci's extremal operators ⋮ Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls ⋮ Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators

Cites Work

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• Radial Fučik spectrum of the Laplace operator
• Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
• Some global results for nonlinear eigenvalue problems
• Some aspects of nonlinear eigenvalue problems

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