Some new estimates for solutions of degenerate two dimensional Monge-Ampere equations

Research Report MRR98-046

Some new estimates for solutions of degenerate two dimensional Monge-Ampère equations

John Urbas

Abstract: We derive a monotonicity formula for smooth solutions u of degenerate two dimensional Monge-Ampère equations, and use this to obtain a local Hölder gradient estimate, depending on |\Delta u|_L^p for some p>1.

Download paper:	PDF file (200K)
	gzipped DVI file (19K)

Download cover sheet:	PDF file (51K)
	DVI file (2K)

This service is maintained by the Mathematical Sciences Institute (MSI)
Comments to webmaster@maths.anu.edu.au URL: http://wwwmaths.anu.edu.au/