A new estimate for the topological degree. (English. Abridged French version) Zbl 1071.55002
Summary: We establish a new estimate for the topological degree of continuous maps from the sphere \(\mathbb S^N\) into itself, which answers a question raised in J. Bourgain, H. Brezis, and P. Mironescu [Commun. Pure Appl. Math. 58, 529–551 (2005; Zbl 1077.46023)] 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).
MSC:
| 55M25 | Degree, winding number |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
Citations:
Zbl 1077.46023References:
| [1] | Bourgain, J.; Brezis, H.; Mironescu, P., Lifting, degree, and distributional Jacobian revisited, Commun. Pure Appl. Math., 58, 529-551 (2005) · Zbl 1077.46023 |
| [2] | Bourgain, J.; Brezis, H.; Mironescu, P., Complements to the paper: “Lifting, degree, and distributional Jacobian revisited”, to be posted on the website |
| [3] | H.-M. Nguyen, Optimal constant in a new estimate for the degree, submitted for publication; H.-M. Nguyen, Optimal constant in a new estimate for the degree, submitted for publication |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
