Existence of trivial and nontrivial solutions of a fourth-order ordinary differential equation
| dc.contributor.author | Gyulov, Tihomir | |
| dc.contributor.author | Tersian, Stepan | |
| dc.date.accessioned | 2021-04-12T17:55:28Z | |
| dc.date.available | 2021-04-12T17:55:28Z | |
| dc.date.issued | 2004-03-23 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Gyulov, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13369 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Fourth-order ordinary differential equation | |
| dc.subject | Variational methods | |
| dc.subject | Brezis-Nirenberg's theorem | |
| dc.title | Existence of trivial and nontrivial solutions of a fourth-order ordinary differential equation | |
| dc.type | Article |