A New Solution Operator of One-Dimensional -Laplacian with a Sign-Changing Weight and Its Application

Inbo Sim and Yong Hoon Lee

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

Abstract:

We establish a new solution operator for the following problem , , , where , . may be singular at the boundary or change signs or may not be in so that this solution operator can cover larger class of than previously known ones. As an application, by checking complete continuity of the solution operator, we show the existence of nontrivial solutions for -Laplacian , , , where a parameter and and and may change signs or may be beyond of .

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2012/243740.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2012/243740.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:243740

DOI: 10.1155/2012/243740

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().