Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415152 | Journal of Functional Analysis | 2013 | 17 Pages |
Abstract
In this paper, we shall establish the unilateral global bifurcation which bifurcates from the trivial solutions axis or from infinity of a class of nonlinear Sturm-Liouville problems with nondifferentiable nonlinearity, respectively. As applications of the above results, we shall determine the interval of r, in which there exist nodal solutions for the following problem{uâ³(t)+ra(t)f(u)=0,tâ(0,1),u(0)=u(1)=0, where a(t) is a positive continuous function on [0,1], fâC(R,R) but is not necessarily differentiable at the origin and infinity. Moreover, as a special case of the above problem, we shall prove more details about the existence of nodal solutions for a class of half-linear eigenvalue problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ruyun Ma, Guowei Dai,