Existence and multiplicity of difference ϕ -Laplacian boundary value problems

Advances in Difference Equations

Dingyong Bai¹  Xianliang Xu¹ 

[1] School of Mathematics and Information Science, and Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China

关键词: difference ϕ-Laplacian boundary value problem;    the lower and upper solution;    positive solution;    multiplicity;    Brouwer degree;   

DOI  :  10.1186/1687-1847-2013-267

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Concerned are the difference ϕ-Laplacian boundary value problems. The multiplicity result based on the lower and upper solutions method associated with Brouwer degree is applied to a difference ϕ-Laplacian eigenvalue problem. An existence result of at least three positive solutions is established for the eigenvalue problem with the parameter belonging to an explicit open interval. In addition, an example is given to illustrate the three solutions result.

【 授权许可】

CC BY