, Volume 16, Issue 4, pp 603–618

Structure of positive solution sets of sub-linear semi-positone operator equations


DOI: 10.1007/s11117-011-0131-y

Cite this article as:
Xu, X. & O’Regan, D. Positivity (2012) 16: 603. doi:10.1007/s11117-011-0131-y


In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results.


Structure of positive solutions setSub-linear operatorGlobal bifurcation theories

Mathematics Subject Classification (2000)


Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of MathematicsXuzhou Normal UniversityXuzhouPeople’s Republic of China
  2. 2.Department of MathematicsNational University of IrelandGalwayIreland