We study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of spatial patterns for bistable systems. Variational tools such as the Brezis-Nirenberg theorem and Clark theorem are used in the proofs of the main results. © 2004 Elsevier Ltd. All rights reserved.
Do Rosário Grossinho, M., Sanchez, L., & Tersian, S. A. (2005). On the solvability of a boundary value problem for a fourth-order ordinary differential equation. Applied Mathematics Letters, 18(4), 439–444. https://doi.org/10.1016/j.aml.2004.03.011