The Validity of L^(1+ϵ) Gagliardo-Nirenberg-Zhang Inequality

We follow Qingzhong Huang and Ai-Jun Li [50] by considering the L^(1+ϵ) version of the recognizable Gagliardo-Nirenberg-Zhang inequality for isotropic measures. We show an application on this mentioned inequality which is the analytic analogue of the L^(1+ϵ) Loomis-Whitney inequality and which implies the classical L^(1+ϵ) Sobolev inequality (without the best constant).

Authors

Publication Details

Journal
International Journal of Advanced Multidisciplinary Research and Studies
Published
2025-02-26
DOI
https://doi.org/10.62225/2583049x.2025.5.1.3791
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
3.73
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Validity of L^(1+ϵ) Gagliardo-Nirenberg-Zhang Inequality

Shawgy Hussein, Medhat Roueheb
1 citations
International Journal of Advanced Multidisciplinary Research and Studies
Nonlinear Differential Equations Analysis
3.73
article

The Validity of L^(1+ϵ) Gagliardo-Nirenberg-Zhang Inequality

Shawgy Hussein, Medhat Roueheb
article en
1 citations

Abstract

We follow Qingzhong Huang and Ai-Jun Li [50] by considering the L^(1+ϵ) version of the recognizable Gagliardo-Nirenberg-Zhang inequality for isotropic measures. We show an application on this mentioned inequality which is the analytic analogue of the L^(1+ϵ) Loomis-Whitney inequality and which implies the classical L^(1+ϵ) Sobolev inequality (without the best constant).

International Journal of Advanced Multidisciplinary Research and StudiesVol. 5(1)
Openalex Percentile: Top 12%
Nonlinear Differential Equations Analysis
3.73
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The Validity of L^(1+ϵ) Gagliardo-Nirenberg-Zhang Inequality — Shawgy Hussein, Medhat Roueheb · International Journal of Advanced Multidisciplinary Research and Studies (2025) | TGRS Research Map | TGRS