Existence of three solutions for a doubly eigenvalue fourth-order boundary value problem

DOI10.11650/twjm/1500406170zbMath1234.34016OpenAlexW1655432895MaRDI QIDQ636071

Donal O'Regan, Ghasem Alizadeh Afrouzi, Shapour Heidarkhani

Publication date: 25 August 2011

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

Full work available at URL: https://doi.org/10.11650/twjm/1500406170

zbMATH Keywords

critical pointsmultiplicity resultsthree solutionsfourth-order equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Variational principles in infinite-dimensional spaces (58E30) Boundary eigenvalue problems for ordinary differential equations (34B09)

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Infinitely many solutions for impulsive nonlocal elastic beam equations ⋮ Existence of infinitely many periodic solutions for perturbed semilinear fourth-order impulsive differential inclusions ⋮ Existence results for a fourth-order elastic beam equation via the variational approach ⋮ Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions ⋮ Existence of multiple solutions for a quasilinear biharmonic equation ⋮ Multiplicity results for perturbed fourth-order Kirchhoff-type problems ⋮ On the existence of solutions to one-dimensional fourth-order equations ⋮ Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity

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