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Some regularity properties of solutions of Monge Ampère equation

✍ Scribed by Luis A. Caffarelli

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 171 KB
Volume: 44
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160440809

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## Abstract We consider some transmission problems for the Laplace operator in two‐dimensional domains. Our goal is to give minimal regularity of the solutions, better than __H__^1^, with or without conditions on the (positive) material constants. Under a monotonicity or quasi‐monotonicity conditio