Superlinear discrete problems

被引：34
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
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 52卷
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
相关论文
共 31 条
[1]   Multiple positive solutions of singular discrete p-Laplacian problems via variational methods [J].
Agarwal, Ravi P. ;
Perera, Kanishka ;
O'Regan, Donal .
ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) :93-99
[2]  
Agarwal Ravil P, 2000, DIFFERENCE EQUATIONS
[3]  
Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012
[4]   NUMBER OF SOLUTIONS OF ASYMPTOTICALLY SUPERLINEAR 2 POINT BOUNDARY-VALUE PROBLEMS [J].
AMANN, H .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1974, 55 (03) :207-213
[5]   COMBINED EFFECTS OF CONCAVE AND CONVEX NONLINEARITIES IN SOME ELLIPTIC PROBLEMS [J].
AMBROSETTI, A ;
BREZIS, H ;
CERAMI, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :519-543
[6]  
Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[7]  
Bereanu C, 2006, MATH BOHEM, V131, P145
[8]   Ground state and mountain pass solutions for discrete p(•)-Laplacian [J].
Bereanu, Cristian ;
Jebelean, Petru ;
Serban, Calin .
BOUNDARY VALUE PROBLEMS, 2012,
[9]   Periodic and Neumann problems for discrete p(.)-Laplacian [J].
Bereanu, Cristian ;
Jebelean, Petru ;
Serban, Calin .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (01) :75-87
[10]  
Bonanno G., PREPRINT
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