A New Solution Operator of One-Dimensional p-Laplacian with a Sign-Changing Weight and Its Application
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-08
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We establish a new solution operator for the following problem -φp(u′)′=g, t∈(0,1), u(0)=0=u(1), where φp(x)=|x|p-2x, p>1.
g may be singular at the boundary or change signs or may not be in L1(0,1) so that this solution operator can cover larger class of g than previously known ones.
As an application, by checking complete continuity of the solution operator, we show the existence of nontrivial solutions for p-Laplacian φp(u′)′+λh(t)f(u(t))=0, t∈(0,1), u(0)=0=u(1), where λ>0 a parameter and f∈C(ℝ,ℝ) and f(0)>0 and h may change signs or may be beyond of L1(0,1).
American Psychological Association (APA)
Sim, Inbo& Lee, Yong Hoon. 2012. A New Solution Operator of One-Dimensional p-Laplacian with a Sign-Changing Weight and Its Application. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-456824
Modern Language Association (MLA)
Sim, Inbo& Lee, Yong Hoon. A New Solution Operator of One-Dimensional p-Laplacian with a Sign-Changing Weight and Its Application. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-456824
American Medical Association (AMA)
Sim, Inbo& Lee, Yong Hoon. A New Solution Operator of One-Dimensional p-Laplacian with a Sign-Changing Weight and Its Application. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-456824
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456824