Multiple solutions for a class of oscillatory discrete problems

Advances in Nonlinear Analysis

article

Maria Mălin¹ 

[1] Department of Mathematics, City University of Hong Kong

关键词: Difference equations;    discrete Laplacian;    oscillatory nonlinearities;    variational methods;   

DOI  :  10.1515/anona-2015-0027

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity u p . By using variational methods, we establish the existence of a sequence of non-negative weak solutions that converges to +∞ if 0 < p ≤ 1. In the superlinear case, we establish a sufficient condition for the existence of at least n solutions.

【 授权许可】

CC BY