Global bifurcation result and nodal solutions for Kirchhoff-type equation

DOI10.3934/math.2021482zbMath1485.34176OpenAlexW3171837580MaRDI QIDQ2130859

Xiaoling Han, Fumei Ye

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021482

zbMATH Keywords

eigenvaluesbifurcationnonlocal problemnodal solutions

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Bifurcation theory of functional-differential equations (34K18) Boundary value problems for functional-differential equations (34K10)

Cites Work

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• A class of small deviation theorems for the random fields on an \(m\) rooted Cayley tree
• Existence and multiplicity of solutions for Kirchhoff type equations
• Solutions for a \(p(x)\)-Kirchhoff type equation with Neumann boundary data
• Infinitely many non-negative solutions for a \(p(x)\)-Kirchhoff-type problem with Dirichlet boundary condition
• Existence and multiplicity of positive solutions for a class of Kirchhoff type problems at resonance
• Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function
• Global structure of positive solutions for nonlocal boundary value problems involving integral conditions
• Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems
• Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function
• Nodal solutions for nonlinear eigenvalue problems
• On bifurcation from infinity
• Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
• Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
• Global bifurcation and nodal solutions for homogeneous Kirchhoff type equations

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