Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications

Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
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非线性边界条件椭圆系统下解和上解方法及其应用

DOI:
10.1155/2014/705298
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发表时间:
2014-05
影响因子:
--
通讯作者:
Lu Yanqiong
Lu Yanqiong
中科院分区:
--
文献类型:
--
作者:
Ma Ruyun;Chen Ruipeng;Lu Yanqiong

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给出了一类具有非线性边界条件的椭圆型方程组的上下解方法。作为应用,我们研究了一个椭圆型系统,该模型将种群分为少年组和成年组,我们根据相应的线性化系统的主特征值找到了保证上述少年组和成年组模型共存的充分条件。
We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find sufficient conditions in terms of the principal eigenvalue of the corresponding linearized system, to guarantee the existence of coexistence states of the above juvenile-adult model.
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