Existence of trivial and nontrivial solutions of a fourth-order ordinary differential equation
Date
2004-03-23
Authors
Gyulov, Tihomir
Tersian, Stepan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Fourth-order ordinary differential equation, Variational methods, Brezis-Nirenberg's theorem
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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.