ON A MONGE-AMPERE EQUATION ARISING IN GEOMETRIC OPTICS

Authors
GUAN PF WANG XJ
Citation
Pf. Guan et Xj. Wang, ON A MONGE-AMPERE EQUATION ARISING IN GEOMETRIC OPTICS, Journal of differential geometry, 48(2), 1998, pp. 205-223
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of differential geometry → ACNP
ISSN journal
0022040X
Volume
48
Issue
2
Year of publication
1998
Pages
205 - 223
Database
ISI
SICI code
0022-040X(1998)48:2<205:OAMEAI>2.0.ZU;2-7
Abstract
In this paper we study a Monge-Ampere equation arising in geometric op tics. We will establish the a priori estimates and derive the existenc e of solutions by the continuity method. We also give a Legendre-type transformation for this equation.