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 fractional Gagliardo-Nirenberg inequality onhomogeneous Lie groups. Also, we establish weighted fractionalCaffarelli-Kohn-Nirenberg inequality and Lyapunov-type inequality for the Rieszpotential on homogeneous Lie groups. The obtained Lyapunov inequality for theRiesz potential is new already in the classical setting of $\mathbb{R}^{N}$. Asan application, we give two-sided estimate for the first eigenvalue of theRiesz potential. Also, we obtain Lyapunov inequality for the system of thefractional $p$-sub-Laplacian equations and give an application to estimate itseigenvalues

Anisotropic fractional Gagliardo-Nirenberg, weighted  Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to  Riesz potentials and $p$-sub-Laplacian systems