Research
Positive solution for boundary value problems with p-Laplacian in Banach spaces
Author affiliations
1 College of Science, Tianjin University of Technology, Tianjin 300384, China
2 School of Science, Beijing Institute of Technology, Beijing 100081, China
Citation and License
Boundary Value Problems 2012, 2012:51 doi:10.1186/1687-2770-2012-51
Published: 30 April 2012Abstract
In this article, by using the fixed point theorem of strict-set-contractions operator, we discuss the existence of positive solution for boundary value problems with p-Laplacian
in Banach spaces E, where: θ is the zero element of E. Although the fixed point theorem of strict-set-contractions operator is used extensively in yielding positive solutions for boundary value problems in Banach spaces, this method has not been used to study those boundary value problems with p-Laplacian in Banach spaces. So this article may be regarded as an illustration of fixed point theorem of strict-set-contractions operator in a new area.
MSC: 34B18.
