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2014 Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
Ruyun Ma, Ruipeng Chen, Yanqiong Lu
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/705298

Abstract

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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Ruyun Ma. Ruipeng Chen. Yanqiong Lu. "Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/705298

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131807
MathSciNet: MR3212510
Digital Object Identifier: 10.1155/2014/705298

Rights: Copyright © 2014 Hindawi

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