A survey on extremal problems of eigenvalues

DOI10.1155/2012/670463zbMath1296.34172OpenAlexW2159798302WikidataQ58695832 ScholiaQ58695832MaRDI QIDQ1925406

Ping Yan, Meirong Zhang

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/670463

zbMATH Keywords

eigenvaluesDirichlet eigenvaluesextremal problemsNeumann eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalue problems for linear operators (47A75) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights ⋮ Maximizing the spreading speed of KPP fronts in two-dimensional stratified media ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Continuity of the eigenvalues for a vibrating beam ⋮ Complete structure of the Fučík spectrum of the p-Laplacian with integrable potentials on an interval

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimization of the zeroth Neumann eigenvalues with integrable potentials
• Extremal eigenvalues of measure differential equations with fixed variation
• On minimal and maximal eigenvalue gaps and their causes
• A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential
• Spreading speeds and traveling waves for periodic evolution systems
• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• Continuity in weak topology: higher order linear systems of ODE
• Spectrum of one-dimensional \(p\)-Laplacian with an indefinite integrable weight
• Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight
• Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
• Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls
• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
• Various half-eigenvalues of scalar \(p\)-Laplacian with indefinite integrable weights
• Volterra-Stieltjes integral equations and generalized ordinary differential expressions
• The Floquet theory of the periodic Euler-Bernoulli equation
• Dependence of solutions and eigenvalues of measure differential equations on measures
• Minimization of eigenvalues of one-dimensional \(p\)-Laplacian with integrable potentials
• Continuity in weak topology: first order linear systems of ODE
• Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the \(p\)-Laplacian
• Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian
• A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations
• CONTINUITY AND CONTINUOUS DIFFERENTIABILITY OF HALF-EIGENVALUES IN POTENTIALS
• 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
• The eigenvalue gap for one-dimensional Schrödinger operators with symmetric potentials
• An Introduction to Banach Space Theory
• Sharp Estimates for the Eigenvalues of Some Differential Equations
• Extremal eigenvalue gaps for the Schrödinger operator with Dirichlet boundary conditions
• The Eigenvalue Gap for One-Dimensional Convex Potentials
• The periodic Euler-Bernoulli equation
• The Lebesgue-Stieltjes Integral
• Sturm--Liouville theory for the p-Laplacian
• MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS
• Certain classes of potentials for p ‐Laplacian to be non‐degenerate

This page was built for publication: A survey on extremal problems of eigenvalues