On the Lavrentiev Gap for Manifold-Valued Maps.

Authors

Carlo Alberto Antonini, Filomena De Filippis, Cintia Pacchiano Camacho

Published in

Journal of geometric analysis. Volume 36. Issue 11. Pages 380. Epub Oct 07, 2026.

Abstract

We characterize necessary and sufficient conditions ensuring approximation by smooth maps in the Sobolev space $W^{1,\phi }$ between suitable compact manifolds, where the prototypical example of Young function $\phi$ is the double-phase integrand.

PMID:
42851378
Bibliographic data and abstract were imported from PubMed on 09 Oct 2026.

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