The eigenvalue problem for the p -Laplacian-like equations

Zu-Chi Chen and Tao Luo

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-12

Abstract:

We consider the eigenvalue problem for the following p -Laplacian-like equation: − div ( a ( | D u | p ) | D u | p − 2 D u ) = λ f ( x , u ) in Ω , u = 0 on ∂ Ω , where Ω ⊂ ℝ n is a bounded smooth domain. When λ is small enough, a multiplicity result for eigenfunctions are obtained. Two examples from nonlinear quantized mechanics and capillary phenomena, respectively, are given for applications of the theorems.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/507280.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/507280.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:jijmms:507280

DOI: 10.1155/S0161171203006744

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().