Journal of Jilin University Science Edition

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Existence and Uniqueness of Positive Solutions to BoundaryValue Problem with p-Laplacian Operator

ZHOU Chenxing1, LIANG Sihua1,2   

  1. 1. College of Mathematics, Changchun Normal University, Changchun 130032, China; 2. Key Laboratory of SymbolicComputation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China
  • Received:2013-04-07 Online:2014-01-26 Published:2014-03-05
  • Contact: LIANG Sihua E-mail:liangsihua@163.com

Abstract:

We considered  a class of mpoint boundary value problem with p-Laplacian operator with the help of a fixedpoint theorem in partially ordered sets and obtained sufficient conditions for the existence and uniqueness of positive solution to the above boundary value problem. Finally, we showed that this solution is strictly monotonic increasing.

Key words:  partially ordered sets, fixedpoint theorem, positive solution

CLC Number: 

  • O175.14