Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions

Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions
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DOI：
10.1016/j.amc.2008.12.024
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发表时间：
2009-04
期刊：
Appl. Math. Comput.
影响因子：
--
通讯作者：
Liang Bai;Guang Zhang
Liang Bai;Guang Zhang
中科院分区：
其他
文献类型：
--
作者：
Liang Bai;Guang Zhang

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利用单调算子原理、山路引理、链接定理和莫尔斯理论中的一些结果，研究了一类具有周期边界条件的非线性离散椭圆型方程非平凡解的存在性.所得结果对于相应的差分周期边值问题也是有效的和新的。
In this paper, existence of nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions is considered by using the monotone operator principle, Mountain pass lemma, Linking theorem and some results in Morse theory. The obtained results are also valid and new for the corresponding difference periodic boundary value problem.