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

We consider a one-phase nonlocal free boundary problem obtained by thesuperposition of a fractional Dirichlet energy plus a nonlocal perimeterfunctional. We prove that the minimizers are H\"older continuous and the freeboundary has positive density from both sides.  For this, we also introduce a new notion of fractional harmonic replacementin the extended variables and we study its basic properties.

Continuity and density results for a one-phase nonlocal free boundary problem