In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.
@article{bwmeta1.element.doi-10_2478_s11533-014-0416-z,
author = {Ziyatkhan Aliyev},
title = {Some global results for nonlinear fourth order eigenvalue problems},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1811-1828},
zbl = {1305.34033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0416-z}
}
Ziyatkhan Aliyev. Some global results for nonlinear fourth order eigenvalue problems. Open Mathematics, Tome 12 (2014) pp. 1811-1828. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0416-z/
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