Year: 2026
Type: preprint
Abstract: For $N\ge2$, $0<β1$, we study maximizers of the critical singular anisotropic Moser--Trudinger integral \[ \int_{\mathbb{R}^N} \frac{Φ_{N,q,β} (λ_N(1-β/N)|u|^{N/(N-1)})} {F^o(x)^β}\,\mathrm{d}x, \qquad \|F(\nabla u)\|_N^a+\|u\|_q^b\le 1. \] where $a>0$, $00$ when $b0$ if $11$, $q_-\le qN$ and attainment holds if and only if $0
Source: arXiv (Cornell University)
Authors: Guo, Kaiwen, Liu, Yanjun
Institutions: Shandong University, Chongqing Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213938950