Elementary variational approach to positive and negative solutions of a nonlinear algebraic system

Elementary variational approach to positive and negative solutions of a nonlinear algebraic system

Abstract By using variational methods and elementary analysis, the conditions for the existence of positive and negative solutions to a nonlinear system are given. Furthermore, some examples are offered to explain that the conditions are new and the results are sharp.

Bibliographic Details
Main Authors: Jiao-Ling Zhang, Gen-Qiang Wang
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Advances in Difference Equations
Subjects:
nonlinear algebraic system
positive solution
negative solution
critical point
variational method
Online Access:http://link.springer.com/article/10.1186/s13662-017-1359-z
Description
Summary:Abstract By using variational methods and elementary analysis, the conditions for the existence of positive and negative solutions to a nonlinear system are given. Furthermore, some examples are offered to explain that the conditions are new and the results are sharp.
ISSN:1687-1847

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