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

Jiao-Ling Zhang, Gen-Qiang Wang
2017 Advances in Difference Equations  
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. MSC: 39A11
doi:10.1186/s13662-017-1359-z fatcat:thyrhrddt5eqnonabyyug2aw2y