Optimal lower bound for the first eigenvalue of the fourth order equation

DOI10.1016/j.jde.2016.05.018zbMath1360.34170OpenAlexW2403935393MaRDI QIDQ2630901

Ping Yan, Gang Meng

Publication date: 25 July 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.05.018

zbMATH Keywords

eigenvalueminimization problemintegrable potentialoptimal lower boundthe 4-th order equation

Mathematics Subject Classification ID

Optimality conditions for minimax problems (49K35) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (12)

Dependence of solutions and eigenvalues of third order linear measure differential equations on measures ⋮ The optimal upper bound for the first eigenvalue of the fourth order equation ⋮ Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations ⋮ On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures ⋮ Continuity of periodic solutions for Lotka-Volterra equations in coefficient functions ⋮ On the isospectral problem of the Camassa-Holm equation ⋮ A variational approach to the optimal locations of the nodes of the second Dirichlet eigenfunctions ⋮ Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential ⋮ Continuity of periodic solutions to nonlinear equations in external forces ⋮ Continuity of periodic solutions of the Landesman-Lazer equation in external forces ⋮ Minimization of eigenvalues for the Camassa–Holm equation ⋮ Continuity and minimization of spectrum related with the periodic Camassa-Holm equation

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