MULTIPLICITY OF POSITIVE SOLUTIONS UNDER NONLINEAR BOUNDARY CONDITIONS FOR DIFFUSIVE LOGISTIC EQUATIONS

Proceedings of the Edinburgh Mathematical Society

Kenichiro Umezu¹ 

关键词: bifurcation equations;    secondary bifurcation;    constrained minimization problems;    positive solutions;    multiplicity results;    population dynamics;   

DOI  :  10.1017/S0013091503000294

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we consider the existence and multiplicity of positive solutions of a nonlinear elliptic boundary-value problem with nonlinear boundary conditions which arises in population dynamics. While bifurcation problems from lines of trivial solutions are studied, the existence of bifurcation positive solutions from infinity is discussed. The former will be caught by the reduction to a bifurcation equation following the Lyapunov and Schmidt procedure. The latter will be based on a variational argument depending on the corresponding constrained minimization problem.AMS 2000 Mathematics subject classification: Primary 35J65; 35J20; 35P30; 35B32; 92D25

【 授权许可】

Unknown