On the Lavrentiev Gap for Manifold-Valued Maps
Abstract We characterize necessary and sufficient conditions ensuring approximation by smooth maps in the Sobolev space $$W^{1,\varphi }$$ W 1 , φ between suitable compact manifolds, where the prototypical example of Young function $$\varphi $$ φ is the double-phase integrand.
Authors
- Cintia Pacchiano Camacho (ORCID: https://orcid.org/0009-0004-6210-4013)
- Carlo Alberto Antonini (ORCID: https://orcid.org/0000-0002-7663-1090)
- Filomena De Filippis (ORCID: https://orcid.org/0000-0002-2784-1411)
Institutions
- University of Salzburg (AT)
- University of Milan (IT)
- Universidad Nacional Autónoma de México (MX)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2026-10-07
- DOI
- https://doi.org/10.1007/s12220-026-02628-1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00