Article

Positivity

, Volume 16, Issue 4, pp 603-618

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

  • Xian XuAffiliated withDepartment of Mathematics, Xuzhou Normal University Email author 
  • , Donal O’ReganAffiliated withDepartment of Mathematics, National University of Ireland

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Abstract

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.

Keywords

Structure of positive solutions set Sub-linear operator Global bifurcation theories

Mathematics Subject Classification (2000)

47H11 34B15