EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL p-LAPLACIAN

• 作者: Shu Zhang Yujun Cui
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: P-LAPLACE算子 正解的存在性 边值问题 P-LAPLACE算子 一维 不动点理论 不动点指数 经营者
• 年，卷（期）: 2014,（2）
• 页码范围: 137-143
• 页数: 7页
• 分类号: O175.26

摘要

We study the existence of positive solutions to boundary value problems for onedimensional p-Laplacian under some conditions about the first eigenvalues corresponding to the relevant operators by the fixed point theory.The main difficulties are the computation of fixed point index and the subadditivity for positively 1-homogeneous operator.