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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate spectral features of the Dirac operator with infinite massboundary conditions in a smooth bounded domain of $\mathbb{R}^2$. Motivated byspectral geometric inequalities, we prove a non-linear variational formulationto characterize its principal eigenvalue. This characterization turns out to bevery robust and allows for a simple proof of a Szeg\"o type inequality as wellas a new reformulation of a Faber-Krahn type inequality for this operator. Thepaper is complemented with strong numerical evidences supporting the existenceof a Faber-Krahn type inequality.

A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities