Bifurcation of symmetric solutions for the sublinear Moore-Nehari differential equation

DOI10.1016/j.jmaa.2022.126142zbMath1496.34072OpenAlexW4220832739WikidataQ115345837 ScholiaQ115345837MaRDI QIDQ831506

Ryuji Kajikiya

Publication date: 23 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126142

zbMATH Keywords

nodal solutionsymmetric solutionsymmetry breaking bifurcation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Bifurcation theory. An introduction with applications to partial differential equations
• Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
• Functional analysis, Sobolev spaces and partial differential equations
• Symmetry-breaking bifurcation for the Moore-Nehari differential equation
• Existence of nodal solutions for the sublinear Moore-Nehari differential equation
• Symmetric and asymmetric nodal solutions for the Moore-Nehari differential equation
• Some global results for nonlinear eigenvalue problems
• Some aspects of nonlinear eigenvalue problems
• Extension of the example by Moore-Nehari
• Nonoscillation Theorems For a Class of Nonlinear Differential Equations
• Symmetry-breaking bifurcation for the one-dimensional Hénon equation
• Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations

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