Superlinear discrete problems

被引:32
作者
Bonanno, Gabriele [1 ]
Jebelean, Petru [2 ]
Serban, Calin [2 ]
机构
[1] Univ Messina, Dept Civil Comp Construct Environm Engn & Appl Ma, I-98166 Messina, Italy
[2] West Univ Timisoara, Dept Math, Timisoara 300223, Romania
关键词
Difference equations; Multiplicity results; Variational methods; MULTIPLE POSITIVE SOLUTIONS; P-LAPLACIAN PROBLEMS; VARIATIONAL-METHODS; DIFFERENCE-EQUATIONS; EXISTENCE; THEOREM;
D O I
10.1016/j.aml.2015.09.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to present an existence result of two positive solutions for a nonlinear difference problem by variational methods. The conclusion is achieved by assuming, together with the super-linearity at infinity, a suitable algebraic condition on the nonlinear term, which is more general than the sub-linearity at zero. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:162 / 168
页数:7
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