A new estimate for the topological degree |
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| Authors: | Jean Bourgain Haïm Brezis Hoai-Minh Nguyen |
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| Affiliation: | 1. Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA;2. Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, 175, rue du Chevaleret, 75013 Paris, France;3. Rutgers University, Department of Mathematics, Hill Center, Busch Campus, 110, Frelinghuysen Road, Piscataway, NJ 08854, USA |
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| Abstract: | We establish a new estimate for the topological degree of continuous maps from the sphere into itself, which answers a question raised in Bourgain, Brezis, and Mironescu [Commun. Pure Appl. Math. 58 (2005) 529–551] and extends some of the results proved there, as well as in recent work by these authors (Lifting, degree, and distributional Jacobian revisited, http://ann.jussieu.fr/publications). To cite this article: J. Bourgain et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005). |
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