A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions
Analysis of PDEs
2026-04-07 v1 Functional Analysis
Abstract
We establish a Trudinger-Moser type inequality with a Tintarev-type constraint in fractional-dimensional spaces and prove the existence of maximizers in the critical regime. Our results provide a refinement of those in (Calc. Var. 52 (2015), 125-163) in the setting of fractional-dimensional spaces, as well as of those in (Ann. Global Anal. Geom. 54 (2018), 237-256) for classical Sobolev spaces.
Keywords
Cite
@article{arxiv.2604.04676,
title = {A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions},
author = {Ruan Diego da Silva Paiva and José Francisco de Oliveira},
journal= {arXiv preprint arXiv:2604.04676},
year = {2026}
}