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

In this paper we study a partially overdetermined mixed boundary valueproblem for domains $\Omega$ contained in an unbounded set $\mathcal C$. Weintroduce the notion of Cheeger set relative to $\mathcal C$ and show that if adomain $\Omega \subset \mathcal C$ admits a solution of the overdeterminedproblem, then it coincides with its relative Cheeger set. We also study therelated problem of characterizing constant mean curvature surfaces $\Gamma$inside $\mathcal C$. In the case when $\mathcal C$ is a cylinder we obtainfurther results whenever the relative boundary of $\Omega$ or the surface$\Gamma$ is a graph on the base of the cylinder.

Overdetermined problems and relative Cheeger sets in unbounded domains