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

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 eigen...

Full description

Bibliographic Details
Main Authors:	Ruyun Ma, Ruipeng Chen, Yanqiong Lu
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/2014/705298

id	doaj-947a9da529454935819d81a3fee0293e
record_format	Article
spelling	doaj-947a9da529454935819d81a3fee0293e2020-11-24T22:23:06ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/705298705298Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its ApplicationsRuyun Ma0Ruipeng Chen1Yanqiong Lu2Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe 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.http://dx.doi.org/10.1155/2014/705298
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ruyun Ma Ruipeng Chen Yanqiong Lu
spellingShingle	Ruyun Ma Ruipeng Chen Yanqiong Lu Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications Journal of Applied Mathematics
author_facet	Ruyun Ma Ruipeng Chen Yanqiong Lu
author_sort	Ruyun Ma
title	Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
title_short	Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
title_full	Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
title_fullStr	Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
title_full_unstemmed	Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
title_sort	method of lower and upper solutions for elliptic systems with nonlinear boundary condition and its applications
publisher	Hindawi Limited
series	Journal of Applied Mathematics
issn	1110-757X 1687-0042
publishDate	2014-01-01
description	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.
url	http://dx.doi.org/10.1155/2014/705298
work_keys_str_mv	AT ruyunma methodofloweranduppersolutionsforellipticsystemswithnonlinearboundaryconditionanditsapplications AT ruipengchen methodofloweranduppersolutionsforellipticsystemswithnonlinearboundaryconditionanditsapplications AT yanqionglu methodofloweranduppersolutionsforellipticsystemswithnonlinearboundaryconditionanditsapplications
_version_	1725766030174715904

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

Similar Items