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The neumann problem for equations of monge-ampère type

✍ Scribed by P.-L. Lions; N. S. Trudinger; J. I. E. Urbas

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
896 KB
Volume
39
Category
Article
ISSN
0010-3640

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📜 SIMILAR VOLUMES

A symmetrization result for Monge–Ampère
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## Abstract In this paper we prove some comparison results for Monge–Ampère type equations in dimension two. We also consider the case of eigenfunctions and we derive a kind of “reverse” inequalities. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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We consider different types of singular boundary value problems for the Monge᎐Ampere operator. The approach is based on existing regularity theory and á subsolution᎐supersolution method. Nonexistence and uniqueness results are also given.