ON THE 2ND BOUNDARY-VALUE PROBLEM FOR EQUATIONS OF MONGE-AMPERE TYPE

Authors
URBAS J
Citation
J. Urbas, ON THE 2ND BOUNDARY-VALUE PROBLEM FOR EQUATIONS OF MONGE-AMPERE TYPE, Journal fur die Reine und Angewandte Mathematik, 487, 1997, pp. 115-124
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal fur die Reine und Angewandte Mathematik → ACNP
ISSN journal
00754102
Volume
487
Year of publication
1997
Pages
115 - 124
Database
ISI
SICI code
0075-4102(1997)487:<115:OT2BPF>2.0.ZU;2-Z
Abstract
We prove the existence of globally smooth convex solutions of Monge-Am pere equations of the form detD(2)u = f(x, u, Du) in Omega subject to the boundary condition Du(Omega)= Omega where Omega and Omega* are sm ooth uniformly convex domains in R-n.