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 prove the concavity of $p$-entropy power of probabilitydensities solving the $p$-heat equation on closed Riemannian manifold withnonnegative Ricci curvature. As applications, we give new proofs of$L^p$-Euclidean Nash inequality and $L^p$-Euclidean Logarithmic Sobolevinequality, moreover, an improvement of $L^p$-Logarithmic Sobolev inequality isderived.

The concavity of $p$-entropy power and applications in functional inequalities