Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function

DOI10.1016/j.na.2009.01.046zbMath1173.34310OpenAlexW2045791361MaRDI QIDQ1030107

Xiaoling Han, Ru Yun Ma

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.046

zbMATH Keywords

bifurcationindefinite weightnodal solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23)

Related Items (13)

A finite element approach for finding positive solutions of a logistic equation with a sign-changing weight function ⋮ Global bifurcation result and nodal solutions for Kirchhoff-type equation ⋮ Multiplicity results for a class of fourth order semipositonem-point boundary value problems ⋮ Existence of positive solutions to discrete second-order boundary value problems with indefinite weight ⋮ Global bifurcation in \(2m\)-order generic systems of nonlinear boundary value problems ⋮ Global structure and one‐sign solutions for second‐order Sturm–Liouville difference equation with sign‐changing weight ⋮ On linear and nonlinear fourth-order eigenvalue problems with indefinite weight ⋮ Global structure of positive solutions of a discrete problem with sign-changing weight ⋮ Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight ⋮ Spectrum of discrete second-order Neumann boundary value problems with sign-changing weight ⋮ Nodal solutions of the \(p\)-Laplacian with sign-changing weight ⋮ Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function ⋮ Global bifurcation and nodal solutions ofN-dimensionalp- Laplacian in unit ball

Cites Work

• Unnamed Item
• On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
• Positive solutions to a class of elliptic boundary value problems
• Positive solutions for nonlinear eigenvalue problems
• Nodal solutions for nonlinear eigenvalue problems
• Variational principles for indefinite eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• Multiplicity results for Ode's with nonlinearities crossing all but a finite number of eigenvalues
• Nonlinear sturm‐lionville problems for second order ordinary differential equations

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