EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL p-LAPLACIAN
- ISSN号:2096-0174
- 期刊名称:《应用数学年刊:英文版》
- 时间:0
- 分类:O175.26[理学—数学;理学—基础数学] O175.2[理学—数学;理学—基础数学]
- 作者机构:[1]Dept. of Math., Shandong University of Science and Technology,Qingdao 266590
- 相关基金:The project was supported by the National Natural Science Foundation of China (11371221, 11071141), the Specialized Research Foundation for the Doctoral Program of Higher Education of China (20123705110001), the Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province and Foundation of SDUST.
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, p-Laplacian, boundary value problem, first eigenvalue, fixed point theory
中文摘要:
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.
英文摘要:
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.