Anisotropic Improved Leray-Trudinger Inequality
Analysis of PDEs
2025-06-23 v1
Abstract
We establish a Leray- Trudinger Type inequality in the anisotropic setting induced by a strongly convex Finsler norm F. The result generalizes classical exponential integrability inequalities for Sobolev functions to the framework of anisotropic Sobolev spaces , where the standard Euclidean norm is replaced by F and associated polar norm . Moreover, in the class of anisotropically radial functions, we obtain the optimal constant in the spirit of Moser's sharp inequality.
Cite
@article{arxiv.2506.16167,
title = {Anisotropic Improved Leray-Trudinger Inequality},
author = {Giuseppina Di Blasio and Giovanni Pisante and Georgios Psaradakis},
journal= {arXiv preprint arXiv:2506.16167},
year = {2025}
}