Spectrum of one-dimensional \(p\)-Laplacian with an indefinite integrable weight

DOI10.1007/s00009-010-0040-5zbMath1202.34147OpenAlexW2020044911MaRDI QIDQ980490

Ping Yan, Gang Meng, Meirong Zhang

Publication date: 29 June 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0040-5

zbMATH Keywords

continuitydifferentiabilityeigenvalueweak topologyspectrum\(p\)-Laplacianindefinite weight

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

Eigencurves of non-definite Sturm-Liouville problems for the \(p\)-Laplacian ⋮ A survey on extremal problems of eigenvalues ⋮ On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures ⋮ Bounds of non-real eigenvalues for indefinite \(p\)-Laplacian problems ⋮ Extremal eigenvalues of measure differential equations with fixed variation ⋮ Minimization of eigenvalues of one-dimensional \(p\)-Laplacian with integrable potentials ⋮ Minimization of the zeroth Neumann eigenvalues with integrable potentials ⋮ On the Fučík spectrum of the scalar \(p\)-Laplacian with indefinite integrable weights ⋮ Non-real eigenvalues of one dimensional \(p\)-Laplacian with indefinite weight ⋮ MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS ⋮ Minimization of eigenvalues for some differential equations with integrable potentials ⋮ Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight ⋮ Nodal solutions of the \(p\)-Laplacian with sign-changing weight ⋮ Uniqueness of positive solutions for boundary value problems associated with indefinite \(\phi\)-Laplacian-type equations ⋮ On eigenvalues of second order measure differential equation and minimization of measures ⋮ Analysis of $L^1$-weights in one-dimensional Minkowski-curvature problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate elliptic eigenvalue problems with indefinite weights
• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• The spectrum of the periodic \(p\)-Laplacian
• Continuity in weak topology: higher order linear systems of ODE
• On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
• On positive solutions of a linear elliptic eigenvalue problem with Neumann boundary conditions
• Nonuniform nonresonance of semilinear differential equations
• Eigenvalues of regular Sturm-Liouville problems
• One-dimensional \(p\)-Laplacian with a strong singular indefinite weight. I: Eigenvalue
• An asymmetric Neumann problem with weights
• Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian
• THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• An Introduction to Banach Space Theory
• Sharp Estimates for the Eigenvalues of Some Differential Equations
• Sturm--Liouville theory for the p-Laplacian
• On the Eigenvalues of Half-Linear Boundary Value Problems