English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The paper concerns the analysis of global minimizers of a Dirichlet-typeenergy functional defined on the space of vector fields $H^1(S,T)$, where $S$and $T$ are surfaces of revolution. The energy functional we consider isclosely related to a reduced model in the variational theory of micromagnetismfor the analysis of observable magnetization states in curved thin films. Weshow that axially symmetric minimizers always exist, and if the target surface$T$ is never flat, then any coexisting minimizer must have line symmetry. Thus,the minimization problem reduces to the computation of an optimalone-dimensional profile. We also provide a necessary and sufficient conditionfor energy minimizers to be axially symmetric.

Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime