Extremal Trudinger-Moser inequality associated with many point vortices with multi-intensities

We study the boundedness of extremal 2D Trudinger-Moser inequality associated with many point vortices with multi-intensities. Sufficient conditions for continuously-distributed measures are given in one-sided and two-sided cases.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35471
Primary Topic
Nonlinear Partial Differential Equations
Type
preprint
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preprint

Extremal Trudinger-Moser inequality associated with many point vortices with multi-intensities

Yohei Toyota, Takashi Suzuki
arXiv (Cornell University)
Nonlinear Partial Differential Equations
preprint

Extremal Trudinger-Moser inequality associated with many point vortices with multi-intensities

Yohei Toyota, Takashi Suzuki
preprint en

Abstract

We study the boundedness of extremal 2D Trudinger-Moser inequality associated with many point vortices with multi-intensities. Sufficient conditions for continuously-distributed measures are given in one-sided and two-sided cases.

arXiv (Cornell University)
Nonlinear Partial Differential Equations
DOIOpen Access PDFOpenAlex
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Extremal Trudinger-Moser inequality associated with many point vortices with multi-intensities — Yohei Toyota, Takashi Suzuki · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS