Existence of two solutions for a fourth-order difference problem with p(k) exponent

被引：2
作者：
Moghadam, Mohsen Khaleghi [1 ]
Khalili, Yasser [1 ]
Wieteska, Renata [2 ]
机构：
[1] Sari Agr Sci & Nat Resources Univ, Dept Basic Sci, POB 578, Sari, Iran
[2] Lodz Univ Technol, Ctr Educ Math & Phys, Al Politech 11, PL-90924 Lodz, Poland
来源：
AFRIKA MATEMATIKA | 2020年 / 31卷 / 5-6期
关键词：
Discrete nonlinear boundary value problems; Nontrivial solution; Variational methods; Critical point theory; POSITIVE SOLUTIONS; DISCRETE; EQUATIONS;
D O I：
10.1007/s13370-020-00773-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of nontrivial solutions for a fourth-order discrete anisotropic boundary value problem involving the p(k)-Laplacian operator with the Dirichlet and the Neumann boundary value conditions is investigated. Variational approach based on a new critical point theorem is applied. An example is inserted to illustrate main results.
引用
收藏
页码：959 / 970
页数：12
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