Publication Cover
Applicable Analysis
An International Journal
Volume 20, 1985 - Issue 3-4
25
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Some properties of solutions of degenerate second order P.D.E. in non-divergence form

Pages 309-336 | Published online: 20 Jan 2011
 

Abstract

In this paper we study some properties of solution of F(x,u,D2u)=f. The appearance of a null set is derived from an assumption of degeneracy at the origin, involving the dependence of F on the zeroth and second derivative terms. The non appearance of a null set is obtained by the strong maximum principle of Hopf when a strong non degeneracy assumption holds. Interior properties of solutions of F(x,u,D2u)=f on RN are also obtained under another assumption of degeneracy at infinity.

AMS(OMS):

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.