Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol

Mauricio Bravo Vera

International Journal of Mathematics and Mathematical Sciences, 2014, vol. 2014, 1-7

Abstract:

The aim of this work is to show existence and regularity properties of equations of the form on , in which is a measurable function that satisfies some conditions of ellipticity and stands for the Laplace operator on . Here, we define the class of functions to which belongs and the Hilbert space in which we will find the solution to this equation. We also give the formal definition of explaining how to understand this operator.

Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2014/656959.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2014/656959.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:656959

DOI: 10.1155/2014/656959

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 ().