Display Abstract

Title The effect of a nonlinear boundary condition with an indefinite weight on the positive solution set of the logistic elliptic equation

Name Kenichiro Umezu
Country Japan
Email uken@mx.ibaraki.ac.jp
Co-Author(s) Humberto Ramos Quoirin
Submit Time 2014-02-23 01:21:52
Session
Special Session 18: Nonlinear elliptic and parabolic problems
Contents
In this talk, we consider the positive solutions of the logistic elliptic equation having a nonlinear boundary condition with an indefinite weight, according to a parameter, and investigate the role played by the weight in determining the structure of the positive solution set. Using variational and bifurcation techniques, we prove the existence of at least three positive solutions in some range of the parameter and the asymptotic behavior. Eventually, we discuss the existence of a CS-shaped as well as an S-shaped bifurcation diagrams. This is a joint work with Humberto Ramos Quoirin.