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 interplay between variational functionals and the Brunn-Minkowski Theoryis a well-established phenomenon widely investigated in the last thirty years.In this work, we prove the existence of solutions to the even logarithmicMinkowski problems arising from variational functionals, such as the firsteigenvalue of the Laplacian and the torsional rigidity. In particular, we laydown a blueprint showing that the same result holds for more genericfunctionals by adapting the volume case from B\"or\"oczky, Lutwak, Yang, andZhang. We show how these results imply the existence of self-similar solutionsto variational flow problems \`a la Firey's worn stone problem.

The (Self-Similar, Variational) Rolling Stones