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

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

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摘要 We study the existence of positive solutions to boundary value problems for one- dimensional p-Laplacian under some conditions about the first eigenvalues correspon- ding 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. We study the existence of positive solutions to boundary value problems for one- dimensional p-Laplacian under some conditions about the first eigenvalues correspon- ding 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.

作者 Yujun Cui Shu Zhang

机构地区 Dept.of Math.

出处《Annals of Differential Equations》 2014年第2期137-143,共7页 微分方程年刊（英文版）

基金 supported by the National Natural Science Foundation of China(11371221,11071141) the Specialized Research Foundation for the Doctoral Program of Higher Educationof China(20123705110001) the Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province and Foundation of SDUST

关键词 P-LAPLACIAN boundary value problem first eigenvalue fixed point theory p-Laplacian boundary value problem first eigenvalue fixed point theory

分类号 O175 [理学—基础数学]

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Annals of Differential Equations

2014年第2期

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

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