On Inverse and Implicit Function Theorem for Sobolev Mappings
We extend Clarke’s local inversion theorem for Sobolev mappings. We use this result to find a general implicit function theorem for continuous locally Lipschitz mapping in the first variable and satisfying just a topological condition in the second variable. An application to control systems is given.
Authors
- Mihai Cristea (ORCID: https://orcid.org/0000-0002-2766-8356)
Institutions
- University of Bucharest (RO)
Publication Details
- Journal
- Axioms
- Published
- 2025-03-06
- DOI
- https://doi.org/10.3390/axioms14030195
- Citations
- 1
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.21