It is shown that if the real-analytic map f(x) : Ill2 + BP2 has a Jacobian matrix whose eigenvaluee are always both one, then the map ls a diffeemorphism. An explicit form of the inverse ls given. The proof relies on a result which says that the only global solutions to the quasi-linear partial diff
β¦ LIBER β¦
Remarks on the Real Jacobian Conjecture and Samuelson maps
β Scribed by L.A. Campbell
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 204 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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## Abstract We study intrinsic biharmonic maps on a fourβdimensional domain into a smooth, compact Riemannian manifold. We prove a partial regularity result without the assumption that the second derivatives are squareβintegrable. Β© 2005 Wiley Periodicals, Inc.