An Inverse Function Theorem for Continuous Mappings
β Scribed by M. Feckan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 319 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
The purpose of this paper is to give conditions under which a continuous mapping admits a local inverse. 1994 Academic Press, Inc.
π SIMILAR VOLUMES
We extend the classical inverse and implicit function theorems, the implicit function theorems of Lyusternik and Graves, and the results of Clarke and Pourciau to the situation when the given function is not smooth, but it has a convex strict prederivative whose measure of noncompactness is smaller
## Abstract Capacities of generalized condensers are applied to prove a twoβpoint distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robin capacity with respect to the domain of definition of the mapping and subsets of the boundary of this doma