The optimal upper bound for the first eigenvalue of the fourth order equation

DOI10.3934/dcds.2017276zbMath1476.34174OpenAlexW2750463861MaRDI QIDQ2402899

Gang Meng

Publication date: 15 September 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017276

zbMATH Keywords

eigenvalueintegrable potentialmaximization problemoptimal upper boundthe fourth order equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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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 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

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