Research Article
Eigenvalue Problem and Unbounded Connected Branch of Positive Solutions to a Class of Singular Elastic Beam Equations
Author affiliations
School of Mathematical Sciences, Shandong Normal University, Jinan, 250014 Shandong, China
Citation and License
Boundary Value Problems 2011, 2011:594128 doi:10.1155/2011/594128
Published: 21 February 2011Abstract
This paper investigates the eigenvalue problem for a class of singular elastic beam
equations where one end is simply supported and the other end is clamped by sliding
clamps. Firstly, we establish a necessary and sufficient condition for the existence
of positive solutions, then we prove that the closure of positive solution set possesses
an unbounded connected branch which bifurcates from 
Our nonlinearity 
may be singular at 
and/or 
.
