Existence of trivial and nontrivial solutions of a fourth-order ordinary differential equation

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 mini...

Full description

Bibliographic Details
Main Authors: Tihomir Gyulov, Stepan Tersian
Format: Article
Language:English
Published: Texas State University 2004-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/41/abstr.html