MULTIPLICITY OF POSITIVE SOLUTIONS UNDER NONLINEAR BOUNDARY CONDITIONS FOR DIFFUSIVE LOGISTIC EQUATIONS
MULTIPLICITY OF POSITIVE SOLUTIONS UNDER NONLINEAR BOUNDARY CONDITIONS FOR DIFFUSIVE LOGISTIC EQUATIONS
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DOI：
10.1017/s0013091503000294
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发表时间：
2004-06
影响因子：
0.7
通讯作者：
K. Umezu
中科院分区：
文献类型：
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作者：
K. Umezu
本文考虑种群动力学中一类具有非线性边界条件的非线性椭圆型边值问题正解的存在性和多解性。在研究平凡解线分支问题的同时，讨论了无穷远分支正解的存在性。前者将在Lyapunov和Schmidt过程之后被简化为一个分叉方程。后者将基于依赖于相应的约束最小化问题的变分变元。AMS 2000数学科目分类：小学35J65；35J20；35P30；35B32；92D25
Abstract 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