Gyulov, TihomirTersian, Stepan2021-04-122021-04-122004-03-23Gyulov, T., & Tersian, S. (2004). Existence of trivial and nontrivial solutions of a fourth-order ordinary differential equation. <i>Electronic Journal of Differential Equations, 2004</i>(41), pp. 1-14.1072-6691https://hdl.handle.net/10877/13369We study the multiplicity of nontrivial solutions for a semilinear fourth-order ordinary differential equation arising in spatial patterns for bistable systems. In the proof of our results, we use minimization theorems and Brezis-Nirenberg's linking theorem. We obtain also estimates on the minimizers of the corresponding functionals.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalFourth-order ordinary differential equationVariational methodsBrezis-Nirenberg's theoremExistence of trivial and nontrivial solutions of a fourth-order ordinary differential equationArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.