Solution of Nonlinear Elliptic Boundary Value Problems and Its Iterative Construction
Joint Authors
Zhou, Haiyun
Duan, Liling
Wei, Li
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study a kind of nonlinear elliptic boundary value problems with generalized p-Laplacian operator.
The unique solution is proved to be existing and the relationship between this solution and the zero point of a suitably defined nonlinear maximal monotone operator is investigated.
Moreover, an iterative scheme is constructed to be strongly convergent to the unique solution.
The work done in this paper is meaningful since it combines the knowledge of ranges for nonlinear operators, zero point of nonlinear operators, iterative schemes, and boundary value problems together.
Some new techniques of constructing appropriate operators and decomposing the equations are employed, which extend and complement some of the previous work.
American Psychological Association (APA)
Wei, Li& Duan, Liling& Zhou, Haiyun. 2012. Solution of Nonlinear Elliptic Boundary Value Problems and Its Iterative Construction. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-454828
Modern Language Association (MLA)
Wei, Li…[et al.]. Solution of Nonlinear Elliptic Boundary Value Problems and Its Iterative Construction. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-454828
American Medical Association (AMA)
Wei, Li& Duan, Liling& Zhou, Haiyun. Solution of Nonlinear Elliptic Boundary Value Problems and Its Iterative Construction. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-454828
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454828