Bifurcation from infinity and nodal solutions of quasilinear problems without the signum condition

DOI10.1016/j.jmaa.2012.07.056zbMath1257.34013OpenAlexW2070877027MaRDI QIDQ713440

Yanqiong Lu, Guowei Dai, Ru Yun Ma

Publication date: 29 October 2012

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.2012.07.056

zbMATH Keywords

eigenvalue problembifurcationnodal solutions\(p\)-Laplacian problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Unnamed Item ⋮ Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros ⋮ Unnamed Item ⋮ Positive solutions for a second-order \(p\)-Laplacian boundary value problem with impulsive effects and two parameters ⋮ Unilateral global bifurcation for fourth-order problems and its applications ⋮ Two Whyburn type topological theorems and its applications to Monge-Ampère equations ⋮ Multiplicity of positive radial solutions of \(p\)-Laplacian problems with nonlinear gradient term ⋮ Eigenvalue, Unilateral Global Bifurcation and Constant Sign Solution for a Fractional Laplace Problem ⋮ Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence ⋮ Deviating arguments, impulsive effects, and positive solutions for second order singular \(p\)-Laplacian equations

Cites Work

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• Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian
• Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems
• Positive solutions of asymptotically linear elliptic eigenvalue problems
• Multiplicity results for some nonlinear elliptic equations
• On bifurcation from infinity
• Bifurcations of positive and negative continua in quasilinear elliptic eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• BIFURCATION FROM SIMPLE EIGENVALUES AND EIGENVALUES OF GEOMETRIC MULTIPLICITY ONE
• Strong maximum principles for supersolutions of quasilinear elliptic equations
• Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight

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