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Potential and monotone homeomorphisms in Banach spaces
- Source :
- Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 349-381 (2024)
- Publication Year :
- 2024
- Publisher :
- De Gruyter, 2024.
-
Abstract
- Using the Ekeland variational principle and the mountain pass lemma we prove some properties about potential homeomorphisms between a real Banach space and its dual. In particular, we show that a locally monotone homeomorphism is necessarily strictly monotone if it is potential.
Details
- Language :
- English
- ISSN :
- 2191950X
- Volume :
- 13
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.4646227e539f4100b902da549db60a3a
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/anona-2023-0108